Zoe and Abi had $83. Abi had $7 more than Zoe. Zoe spent 2 times as much as Abi and was left with
23 as much as Abi. How much did Zoe spend?
| |
Make p the same
(1)x3 = (3) |
Zoe
(1) |
Abi
(2) |
Make p the same
(2)x2 = (4) |
Total
|
Comparing Zoe
and Abi at first |
|
|
$7 more |
|
$83 |
| Before |
$114 |
$38 |
$45 |
$90 |
|
| Change |
- 6 u |
- 2 u |
- 1 u |
- 2 u |
|
| After |
6 p |
2 p |
3 p |
6 p |
|
Amount that Zoe had at first
= (83 - 7) ÷ 2
= 76 ÷ 2
= $38
Amount that Abi had at first
= 38 + 7
= $45
38 - 2 u = 2 p --- (1)
45 - 1 u = 3 p --- (2)
Make p the same.
(1)
x 3
114 - 6 u =
6 p --- (3)
(2)
x 2
90 - 2 u =
6 p --- (4)
(4) = (3)
90 - 2 u = 114 - 6 u
6 u - 2 u = 114 - 90
4 u = 24
1 u = 24 ÷ 4 = 6
Amount that Zoe spent
= 2 u
= 2 x 6
= $12
Answer(s): $12
