Tutor MathsGuru: Ask me for your burning Maths questions!

[SKT]

Can anyone help:


1. Jerry spent $176 on a tennis racket and 1/7 of the remainder of his money on a book. Then, he bought a calculator for $110. If he had 1/15 of his money left. How much did he have at first?

2. Swee Long, Rafi and Ted share 19 stamps. The ratio of Swee Long’s share to the total number of stamps is 1:5. The ratio of Rafi’s share to the total number of stamps is 1:4. The ratio of Ted’s share to the total number of stamp is 1:2. Find the number of stamps each boy gets. (Hint: None of the stamps are cut)

3. Number of chicken sold was thrice the number of ducks. There were 90 chickens left by the time all the ducks were sold. However if the ducks sold was thrice the number of chicken sold, there would be 330 chickens left by the time all the ducks were sold.
(a) total number of chickens and ducks on farm.
(b)What was the ratio of the number of ducks to the number chickens?

4. There are some apples and pears in a box. If 3 apples are remove, the number of apples will be 1/5 of the total number of fruits left. If 10 pears are removed, the number of apples will be 1/3 of the total number of fruits left. How many pears are there?

[Ngserene617]

Hi kindly assist me for the below 3 stated questions, thanks.


1. Alex, Bryan and Charles paid for a meal. Alex paid 1/5 of the amount Bryan and Charles paid together. Bryan paid 1/4 of the amount Alex and Charles paid. If the meal cost $205.20, how much did Alex pay ?

2. Terry had $420 more than Sean. Sean gave Terry $72. Now, Sean has 1/7 as much money as Terry. How much money had Terry at first?

3. 3 sisters, Amy, Bonnie and Cindy shared to buy a present for their mother. Amy paid 1/3 of the amount which Bonnie and Cindy paid. Bonnie paid 1/5 of the amount which Amy and Cindy paid. If Cindy paid $30 more than Bonnie, how much did the present cost?


Thanks kindly help me to solve this !

[Dharma]

SKT:

Can anyone help:


1. Jerry spent $176 on a tennis racket and 1/7 of the remainder of his money on a book. Then, he bought a calculator for $110. If he had 1/15 of his money left. How much did he have at first?

2. Swee Long, Rafi and Ted share 19 stamps. The ratio of Swee Long's share to the total number of stamps is 1:5. The ratio of Rafi's share to the total number of stamps is 1:4. The ratio of Ted's share to the total number of stamp is 1:2. Find the number of stamps each boy gets. (Hint: None of the stamps are cut)

3. Number of chicken sold was thrice the number of ducks. There were 90 chickens left by the time all the ducks were sold. However if the ducks sold was thrice the number of chicken sold, there would be 330 chickens left by the time all the ducks were sold.
(a) total number of chickens and ducks on farm.
(b)What was the ratio of the number of ducks to the number chickens?

4. There are some apples and pears in a box. If 3 apples are remove, the number of apples will be 1/5 of the total number of fruits left. If 10 pears are removed, the number of apples will be 1/3 of the total number of fruits left. How many pears are there?

Qn1)

Total amt Jerry had at first => $176 + Remainder = $176 + 7parts = 15u
6/7 of remainder => $110 + 1u = 6parts

1u = 6 parts - $110
15u = 90 parts - $1650

90parts - $1650 = $176 + 7parts
83 parts = $1826
1part = $22
Amt Jerry had at first = $176 + 7($22) = $330

Qn2)

Swee Long : Total = 1 : 5 = 4 : 20
Rafi : Total = 1 : 4 = 5 : 20
Ted : Total = 1 : 2 = 10 : 20

Total no. of stamps = 20
Swee Long gets 4, Rafi gets 5 and Ted gets 10; and 1 stamp is left.

Qn3)

1) If no. of chicken sold is 3 times the no. of ducks sold

At first
Chicken : 90 + 3u
Ducks : 1u

2) If no. of ducks sold is 3 times the no. of chicken sold
At first
Chicken : 1p + 330
Duck : 3p

1u = 3p
90 + 3(3p) = 1p + 330
8p = 240
1p = 30
1u = 90

a)\tTotal no. of chicken and ducks = 4u + 90 = 4(90) + 90 = 450
b)\tRatio of ducks : chicken = 3(30) : 30 + 330 = 90 : 360 = 1 : 4


Qn 4)

Before the 3 apples are removed
Apples : 1u + 3
Pears : 4u

Before the 10 pears are removed
Apples : 1p
Pears : 2p + 10

1u + 3 = 1p
4u = 2p + 10
4u = 2(1u + 3) + 10
4u = 2u + 16
2u = 16
1u = 8
1p = 8 + 3 = 11
No. of pears = 4( 8 ) = 32

[SKT]

Thank you Dharma.

[Herbie]

I have one qn.


15. A bullet train took 5 hours to travel from Patient Town to Honest Town while an electric train took 4 hours longer to travel from Honest Town to Patient Town. Both trains set off at the same time and moved towards each other. Two hours later, they were 255 km apart. What was the speed of the electric train?

CHIJ St Nicholas 2009

[corneyAmber]

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[corneyAmber]

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[Muffins]

Herbie:

I have one qn.


15. A bullet train took 5 hours to travel from Patient Town to Honest Town while an electric train took 4 hours longer to travel from Honest Town to Patient Town. Both trains set off at the same time and moved towards each other. Two hours later, they were 255 km apart. What was the speed of the electric train?

CHIJ St Nicholas 2009

Hi Herbie, this is how I do it.

You have to remember that if you want to know the ratio of their speeds, you will have to REVERSE the hour timings, so:

In 1 hour
BT ==> 9 units
ET ==> 5 units.

So, in 2 hours

BT==> 18 units
ET ==> 10 units

Since the electric train takes (5 + 4 = 9) hours to go the full distance, and 10 units are 2 hours, 7 hours (9-2 hours) would be: (10 X 7)/2 = 35 units

35 units = 18 units + 255km (remaining distance)

So, 255 km = 17 units.

1 unit = 255/17 = 15km

15km X 5 = 75km (What the electric train can go to in 1 hour)

75km/1h = 75km/h

Hope I helped!

[Almighty]

Ngserene617:

Hi kindly assist me for the below 3 stated questions, thanks.


3. 3 sisters, Amy, Bonnie and Cindy shared to buy a present for their mother. Amy paid 1/3 of the amount which Bonnie and Cindy paid. Bonnie paid 1/5 of the amount which Amy and Cindy paid. If Cindy paid $30 more than Bonnie, how much did the present cost?


Thanks kindly help me to solve this !

A:B+C:T =1:3:4------ 3:9:12
B:A+C:T= 1:5:6 -------2:10:12
A:B:C= 3:2:[9-2]
5 units--- $30
12 units---?[$72]
Is the answer $72/-?

[Vanilla Cake]

Ngserene617:

3. 3 sisters, Amy, Bonnie and Cindy shared to buy a present for their mother. Amy paid 1/3 of the amount which Bonnie and Cindy paid. Bonnie paid 1/5 of the amount which Amy and Cindy paid. If Cindy paid $30 more than Bonnie, how much did the present cost?

Concept - Total unchanged

A : B+C
1 : 3
3 : 9

B : A+C
1 : 5
2 : 10

A: 3u
B: 2u
7u

C-D=(7-2)u= 5u
5u=$30
Total cost of present = (3+2+7)u= 12u= $30/5x12= $72

Ngserene617:

Thanks kindly help me to solve this !

Pls kindly state the level (P6 or P5) of your questions and source.