Mrs Teo gave Esther and Mary some money each on Wednesday. On Thursday, Esther gave
16 of the amount she had to Mary. On Friday, Mary gave
13 of the amount she had to Esther. In the end, Esther had $49 and Mary had $18. How much did Mary had more than Esther at first?
|
Esther |
Mary |
Total |
Before 1 |
6 u |
? |
$67 |
Change 1 |
- 1 u |
+ 1 u |
|
After 1 |
5 u |
3 p |
$67 |
Before 2 |
$49 - 1 p |
3 p |
$67 |
Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$49 |
2 p ($18) |
$67 |
Amount that Mary had in the end = 2 p
2 p = 18
1 p = 18 ÷ 2 = 9
Working backwards.
Amount that Esther had after giving to Mary on Thursday
= 49 - 1 p
= 49 - 9
= $40
5 u = 40
1 u = 40 ÷ 5 = 8
Amount that Esther had at first
= 6 u
= 6 x 8
= $48
Total amount that Esther and Mary had
= 49 + 18
= $67
Amount that Mary had at first
= 67 - 48
= $19
Amount that Esther had more than Mary
= 48 - 19
= $29
Answer(s): $29