Mrs Leng gave Zoe and Barbara some money each on Thursday. On Friday, Zoe gave
13 of the amount she had to Barbara. On Saturday, Barbara gave
14 of the amount she had to Zoe. In the end, Zoe had $26 and Barbara had $6. How much did Barbara had more than Zoe at first?
| |
Zoe |
Barbara |
Total |
| Before 1 |
3 u |
? |
$32 |
| Change 1 |
- 1 u |
+ 1 u |
|
| After 1 |
2 u |
4 p |
$32 |
| Before 2 |
$26 - 1 p |
4 p |
$32 |
| Change 2 |
+ 1 p |
- 1 p |
|
After 2 |
$26 |
3 p
($6) |
$32 |
Amount that Barbara had in the end = 3 p
3 p = 6
1 p = 6 ÷ 3 = 2
Working backwards.
Amount that Zoe had after giving to Barbara on Friday
= 26 - 1 p
= 26 - 2
= $24
2 u = 24
1 u = 24 ÷ 2 = 12
Amount that Zoe had at first
= 3 u
= 3 x 12
= $36
Total amount that Zoe and Barbara had
= 26 + 6
= $32
Amount that Barbara had at first
= 32 - 36
= $-4
Amount that Zoe had more than Barbara
= 36 - -4
= $40
Answer(s): $40
