## Q&A - P5 Math

### Re: Q&A - P5 Math

A group of boys shared some game cards among themselves.

They tried to share by taking 16 cards each.

However, the last boy had only 12 cards.

If the boys decided to take 14 cards each, there would be 6 cards leftover.

How many cards were there altogher ?

Ans is 76...

TIA

They tried to share by taking 16 cards each.

However, the last boy had only 12 cards.

If the boys decided to take 14 cards each, there would be 6 cards leftover.

How many cards were there altogher ?

Ans is 76...

TIA

### Re: Q&A - P5 Math

snowball wrote:A group of boys shared some game cards among themselves.

They tried to share by taking 16 cards each.

However, the last boy had only 12 cards.

If the boys decided to take 14 cards each, there would be 6 cards leftover.

How many cards were there altogher ?

Ans is 76...

TIA

If give 16 cards, there is a shortage of 4 cards.

If give 14 cards, yhere is a excess of 6 cards.

Thus, to give 2 more cards, you need (4+6) 10 cards. Therefore, there are 5 boys in the group.

there are 76 [ (4×16) + 12 ]cards altogether.

- Steventanky
- KiasuNewbie
**Posts:**1**Joined:**Tue Oct 27,

### Re: Q&A - P5 Math

Before : Last boy had 12.snowball wrote:A group of boys shared some game cards among themselves.

They tried to share by taking 16 cards each.

However, the last boy had only 12 cards.

If the boys decided to take 14 cards each, there would be 6 cards leftover.

How many cards were there altogher ?

Ans is 76...

TIA

After : Last boy received 2 more cards from each of the other boys and had 20.

Difference : Last boy had 8 more cards received from 4 boys.

Total cards : 4 x 14 + 20 = 76.

### Re: Q&A - P5 Math

Linden had 29 more fifty-cent coins than ten-cent coins.

After he had used 37 fifty-cent coins, the value of the fifty-cent coins was $3.20 more than the value of the ten-cent coins.

How many fifty-cent coins and ten-cent coins did he have at first?

TIA

After he had used 37 fifty-cent coins, the value of the fifty-cent coins was $3.20 more than the value of the ten-cent coins.

How many fifty-cent coins and ten-cent coins did he have at first?

TIA

- Swift Formula
- BlueBelt
**Posts:**246**Joined:**Thu Jun 25,**Total Likes:**2

### Re: Q&A - P5 Math

fifty cent = 1 unit + 29 - 37 = 1 unit - 8snowball wrote:Linden had 29 more fifty-cent coins than ten-cent coins.

After he had used 37 fifty-cent coins, the value of the fifty-cent coins was $3.20 more than the value of the ten-cent coins.

How many fifty-cent coins and ten-cent coins did he have at first?

TIA

ten cent = 1 unit

We make it 1 unit of fifty cent and 1 unit of ten cent

so the different will be $3.20 + $0.50 x 8 = $7.20

$7.20 divided by ($0.50 - $0.10) = 18

1 unit = 18.

At first : 2 units + 29 = 2 x 18 + 29 = 65

- edlynnalexander
- OrangeBelt
**Posts:**95**Joined:**Sat May 05,**Total Likes:**1

### Re: Q&A - P5 Math

snowball wrote:Linden had 29 more fifty-cent coins than ten-cent coins.

After he had used 37 fifty-cent coins, the value of the fifty-cent coins was $3.20 more than the value of the ten-cent coins.

How many fifty-cent coins and ten-cent coins did he have at first?

### Re: Q&A - P5 Math

An alternative way: If we treat it like an IQ question. It might be easier going by analysis.snowball wrote:Linden had 29 more fifty-cent coins than ten-cent coins.

After he had used 37 fifty-cent coins, the value of the fifty-cent coins was $3.20 more than the value of the ten-cent coins.

How many fifty-cent coins and ten-cent coins did he have at first?

TIA

Say instead of removing 37 pcs of 50-cent coins, we will remove exactly the extra 29 pcs of 50-cent coins,

So that we know there are equal no. of 10-cent and 50-cent coins n the "pot".

This means we will add back 8pcs (=37-29) 50-cent coins

to the "pot", or $4 of 50-cent coins.

Diff in value is $3.20+$4=$7.20

For each set of 1pc 50-cent coin and 1pc 10-cent coin, diff in value=$0.40

So there are 18 sets (=$7.20/$0.40).

No. of coins at first = 2 x 18 + 29 = 65

### Re: Q&A - P5 Math

thank you edlynnalexander, is easier for me to understand with modeledlynnalexander wrote:snowball wrote:Linden had 29 more fifty-cent coins than ten-cent coins.

After he had used 37 fifty-cent coins, the value of the fifty-cent coins was $3.20 more than the value of the ten-cent coins.

How many fifty-cent coins and ten-cent coins did he have at first?

### Re: Q&A - P5 Math

Hi can anyone help me on the following question? TIA

Mrs Gan made 43 more cupcakes than 4 times as many cupcakes as muffins in the morning. In the afternoon, she sold 33 cupcakes and made another 18 muffins. In the end, she has 73 more cupcakes than muffins. How many cupcakes and muffins did she make at first?

Mrs Gan made 43 more cupcakes than 4 times as many cupcakes as muffins in the morning. In the afternoon, she sold 33 cupcakes and made another 18 muffins. In the end, she has 73 more cupcakes than muffins. How many cupcakes and muffins did she make at first?