Tutor MathsGuru: Ask me for your burning Maths questions!

[iFruit]

pineapple tarts:

Hi there,


The difference between 2 numbers is 66. When you divde the bigger number by the smaller number, the quotent is 7. What is the bigger number?

I found the answer using algebra. But how do I teach my P3 the correct way? Pls help me. thank you very much.

Model diagrams may be better to start off with...

one box = smaller number
7 boxes = bigger number.

6 boxes = 66

1 box = 11; 7 boxes = 77.

[Almighty]

Dharma sir,


Pl.c for a message sent 2 yr inbox again.
Thnks

[Hifive]

Hi everyone


Need help with this P5 question:

The total of 4 numbers was 390. When the first number was tripled, the second number halved, the third number increased by 28 and the 4th number decreased by 15, the 4 numbers became equal. Find the original value of each number.

Thanks in advance.

[Vanilla Cake]

Hifive:

The total of 4 numbers was 390. When the first number was tripled, the second number halved, the third number increased by 28 and the 4th number decreased by 15, the 4 numbers became equal. Find the original value of each number.

After
1st number: u
2nd number: u
3rd number: u
4th number: u

Before
1st number: ⅓u
2nd number: 2u
3rd number: u-28
4th number: u+15

⅓u+2u+u-28+u+15=390
4⅓u-13=390
13u/3=403
u=403x3/13=93

1st number: ⅓u = 1/3x93=31
2nd number: 2u =2x93=186
3rd number: u-28 =93-28=65
4th number: u+15 =93+15=108

The original value of 1st number, 2nd number, 3rd number and 4th number is 31, 186, 65 and 108 respectively.

[pineapple tarts]

iFruit:

pineapple tarts:

Hi there,


The difference between 2 numbers is 66. When you divde the bigger number by the smaller number, the quotent is 7. What is the bigger number?

I found the answer using algebra. But how do I teach my P3 the correct way? Pls help me. thank you very much.

Model diagrams may be better to start off with...

one box = smaller number
7 boxes = bigger number.



6 boxes = 66

1 box = 11; 7 boxes = 77.

Many thanks iFruit, but i still cannot understand. :oops:

[Hifive]

Hi Vanilla Cake


Thanks for your explanation!

There is one more question:

Jenny and Lydia wanted to buy some souvenirs for their friends when they were on a holiday. They had a total amount of $625 with them. Jenny had $115 more than Lydia. At the souvenir shop, Lydia spent half of what Jenny spent. In the end, Lydia was left with 4 times as much money as Jenny. How much did Jenny spend?

Thanks again.

[Vanilla Cake]

Hifive:

Hi Vanilla Cake

Thanks for your explanation!

You are always welcome.

Hifive:

Jenny and Lydia wanted to buy some souvenirs for their friends when they were on a holiday. They had a total amount of $625 with them. Jenny had $115 more than Lydia. At the souvenir shop, Lydia spent half of what Jenny spent. In the end, Lydia was left with 4 times as much money as Jenny. How much did Jenny spend?

After
Jenny: u
Lydia : 4u

Before
J+L=$625
J: [$255][$115]
L: [$255]

Jenny: $370
Lydia : $255

Spending by Lydia-> $255-4u
Spending by Jenny -> $370-u

Lydia spent half of what Jenny spent ->
2($255-4u)=$370-u
$510-8u=$370-u
7u=$140
u=$20

Spending by Jenny -> $370-u =$370-$20= $350
Amount of money spent by Jenny = $350

[atutor2001]

pineapple tarts:

iFruit:

[quote=\"pineapple tarts\"]Hi there,


The difference between 2 numbers is 66. When you divde the bigger number by the smaller number, the quotent is 7. What is the bigger number?

I found the answer using algebra. But how do I teach my P3 the correct way? Pls help me. thank you very much.

Model diagrams may be better to start off with...

one box = smaller number
7 boxes = bigger number.



6 boxes = 66

1 box = 11; 7 boxes = 77.

Many thanks iFruit, but i still cannot understand. :oops:[/quote]What iFruit means is :

[] small number (1 box)
[][][][][][][] big number (7 boxes) ---> because big divided by small = 7 (quotient)

The difference between big and small numbers is 6 boxes or 6 []

Given in the question that the difference between big & small no. is 66, so
[][][][][][] = 66
[] = 66 divide by 6 = 11

So 7 [] = 7 x 11 = 77 (big number)

[Hifive]

Hi Vanilla Cake


Thank you so much! I’ve spent quite a long time this afternoon trying to solve this question. Thank you.

[pineapple tarts]

atutor2001:

What iFruit means is...

Oh I see. Now I understand. Thank you very much!!