Mrs Chye gave Diana and Gem some money each on Wednesday. On Thursday, Diana gave
13 of the amount she had to Gem. On Friday, Gem gave
16 of the amount she had to Diana. In the end, Diana had $12 and Gem had $10. How much did Gem had more than Diana at first?
| |
Diana |
Gem |
Total |
| Before 1 |
3 u |
? |
$22 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
2 u |
6 p |
$22 |
| Before 2 |
$12 - 1 p |
6 p |
$22 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$12 |
5 p
($10) |
$22 |
Amount that Gem had in the end = 5 p
5 p = 10
1 p = 10 ÷ 5 = 2
Working backwards.
Amount that Diana had after giving to Gem on Thursday
= 12 - 1 p
= 12 - 2
= $10
2 u = 10
1 u = 10 ÷ 2 = 5
Amount that Diana had at first
= 3 u
= 3 x 5
= $15
Total amount that Diana and Gem had
= 12 + 10
= $22
Amount that Gem had at first
= 22 - 15
= $7
Amount that Diana had more than Gem
= 15 - 7
= $8
Answer(s): $8
