Tutor MathsGuru: Ask me for your burning Maths questions!

[terzacice3]

:?: xD


Hi hope someone can help solve these few maths problem. I'm desperate as I'm lousy in maths.

1. A baker had some eggs. He used 1/7 of them on Monday and 1/11 of the rest on Tuesday. He bought another 153 eggs and then had as many eggs as he had at first. How many eggs did he have at first?

2. A rectangular board measures 630cm by 396 cm. It is divided into small squares of equal size.
a. (i) Find the largest possible length of the side of a square.
(ii) Find the least number of squares.

b. (i) Find the second largest possible length of the side of a square.
(ii) Find the number of squares in this case.


3. A box contains an assortment of 3 types of chocolate bars. It has 18 bars with almonds, 24 bars with hazlenuts and 30 bars with peanuts. The chocolate bars are shared among some students. Each student has only 1 type of chocolate bar and every student has the same number of chocolate bars. Suppose each student has the greatest number of chocolate bars.
a. How many chocolate bars does each student have.
b. How many students will have chocolate bars with peanuts.

4. A bag contained 100 marbles of 5 colors. There were 20 marbles of each of the colors. Without looking into the bag, what is the fewest number of marbles I must pick to be sure to get 5 marbles of the same color? Explain your answer

:?:

[keborah]

Hi Mathsguru,


Needs you help here:
Faridah had 30 mini chocolat bars. She shared them equally among 2 girls and 3 boys. How many mini chocolate bars did each child receive?

My question is whether Faridah is considered as one of the 2 girls or not?

Many thanks,
Keborah

[jess6545]

To all P6 pupils ... I came across a new website with online Math links and worksheets ...


http://p6.learninghub.sg

Check this out!

[CoffeeCat]

keborah:

Hi Mathsguru,


Needs you help here:
Faridah had 30 mini chocolat bars. She shared them equally among 2 girls and 3 boys. How many mini chocolate bars did each child receive?

My question is whether Faridah is considered as one of the 2 girls or not?

Many thanks,
Keborah

faridah is not included because it's among 2 girls ...
If the keyword is \"with\" then faridah will be included.

[firebird]

Dear mathsguru


Good evening

Please help me on the following maths:

1) The ratio of the number of pencils to the number of rasers in a box was 2:3. When 42 pencils were added and 15 erasers were removed, the ratio of the number of pencils to erasers became 3:4. How many erasers were there left in the box? Answer given was 624.

2) Container A has 150 more marbles than Container B. If 30 marbles are being transferred from Container B to Container A, there will be thrice as many marbles in Container A as Container B. How many marbles are there in Container A in the begining? Ansewr given 285.

3) There are some black and white marbles in a bag. If 20 black marbles are removed from the bag, the total number of marbles left will be 7 times the number of black marbles left.
If 50 white marbles are removed from the bag, the total number of marbles left will 5 times the number of black marbles left.
How many marbles are there in the bag? Amswer given 475.

Many thanks
firebird

[YLH88]

Hi Mathsguru,


Need your help with the below 2 questions :

1) Jane was thinking of a fraction. The sum of its numerator and denominator was 34. After I added 98 to its denominator, the fraction became 1/11. What was the fraction that Jane was thinking of ?
(ans given was : 11/23)

2) Alex, Ben and David went for a run but none of them completed the run.
Ben ran 5 times as far as Alex before he stopped.
David stopped 1 km before the finishing line and he ran 3 km less than twice the distance Ben ran.
The three of them ran 21 km, how long was the run ?
(ans given was 13 km)

Thank you so much!!

[Vanilla Cake]

Hi YLH88,

Hope this helps while waiting for Mathsguru's model solution.

YLH88:

1) Jane was thinking of a fraction. The sum of its numerator and denominator was 34. After I added 98 to its denominator, the fraction became 1/11. What was the fraction that Jane was thinking of ?

1/11 = 11/121
121-98 = 23
34-23=11
Fraction that Jane was thinking of was 11/23

YLH88:

2) Alex, Ben and David went for a run but none of them completed the run.Ben ran 5 times as far as Alex before he stopped.David stopped 1 km before the finishing line and he ran 3 km less than twice the distance Ben ran.The three of them ran 21 km, how long was the run ?

Alex - 1 unit
Ben - 5 units
David - 10 units - 3 km

1 unit + 5 units + 10 units - 3 km = 21 km
16 units = 24 km
1 unit - 1,5 km

Distance of the run was 10 units - 3km + 1 km
= 10(1.5)km - 3km + 1km
= 15 km-3 km+1 km
= 13 km

[Vanilla Cake]

Hi firebird,

Non-model solutions for your reference while waiting for Mathsguru's model solutions. Hope it may help you a little bit.

firebird:

1) The ratio of the number of pencils to the number of erasers in a box was 2:3. When 42 pencils were added and 15 erasers were removed, the ratio of the number of pencils to erasers became 3:4. How many erasers were there left in the box?

Before
P : E
2 : 3

Change
Add 42 pencils
Remove 15 erasers

After
P : E
3 : 4

Balance both sides based on information given by the question.
4(2 units+42) = 3(3 units-15)
8 units + 168 = 9 units-45
1 unit = 213

Number of erasers left in the box = 3 units-15
=3(213)-15
=624

firebird:

2) Container A has 150 more marbles than Container B. If 30 marbles are being transferred from Container B to Container A, there will be thrice as many marbles in Container A as Container B. How many marbles are there in Container A in the beginning?

Before
Container A -> unit + 150
Container B -> unit

Change
30 marbles transferred from Container B to Container A

After in terms of ratio
Container A : Container B
3 : 1

Equate both sides,
3(unit-30) = unit+150+30
3 units - 90 = unit + 180
2 units = 270
1 unit = 135

In the beginning, number of marbles in Container A is 135+150= 285

firebird:

3) There are some black and white marbles in a bag. If 20 black marbles are removed from the bag, the total number of marbles left will be 7 times the number of black marbles left.
If 50 white marbles are removed from the bag, the total number of marbles left will 5 times the number of black marbles left.
How many marbles are there in the bag?

Black - B
White - W

Case 1
7(B-20) = B-20+W
7B-140 = B-20+W
6B-W = 120 ------ (1)

Case 2
W-50+B = 5B
W-4B = 50 ------ (2)

(1)+(2)
2B = 170
B= 85
W=6B-120 = 6(85)-120 = 390

B+W = 85+390 = 475
Number of marbles in the bag is 475

Pls refer to http://prischoolmaths.blogspot.com/2009/09/acs-whole-number.html for better explanation.

[Vanilla Cake]

terzacice3:

1. A baker had some eggs. He used 1/7 of them on Monday and 1/11 of the rest on Tuesday. He bought another 153 eggs and then had as many eggs as he had at first. How many eggs did he have at first?


2. A rectangular board measures 630cm by 396 cm. It is divided into small squares of equal size.
a. (i) Find the largest possible length of the side of a square.
(ii) Find the least number of squares.

b. (i) Find the second largest possible length of the side of a square.
(ii) Find the number of squares in this case.

3. A box contains an assortment of 3 types of chocolate bars. It has 18 bars with almonds, 24 bars with hazlenuts and 30 bars with peanuts. The chocolate bars are shared among some students. Each student has only 1 type of chocolate bar and every student has the same number of chocolate bars. Suppose each student has the greatest number of chocolate bars.
a. How many chocolate bars does each student have.
b. How many students will have chocolate bars with peanuts.

4. A bag contained 100 marbles of 5 colors. There were 20 marbles of each of the colors. Without looking into the bag, what is the fewest number of marbles I must pick to be sure to get 5 marbles of the same color? Explain your answer.

Hi terzacice3,
Pls refer to this http://www.onsponge.com/forum/35-thinkingmathonsponge/1994-hcf-and-remainder-questions.html for the worked solutions. BTW, where are these questions from?

[CoffeeCat]

YLH88:

Hi Mathsguru,


Need your help with the below 2 questions :

1) Jane was thinking of a fraction. The sum of its numerator and denominator was 34. After I added 98 to its denominator, the fraction became 1/11. What was the fraction that Jane was thinking of ?
(ans given was : 11/23)

hey is this question a shortanswer question or a problem sum?