Wendy and Lucy had $121. Lucy had $5 more than Wendy. Wendy spent 2 times as much as Lucy and was left with
23 as much as Lucy. How much did Wendy spend?
| |
Make p the same
(1)x3 = (3) |
Wendy
(1) |
Lucy
(2) |
Make p the same
(2)x2 = (4) |
Total
|
Comparing Wendy
and Lucy at first |
|
|
$5 more |
|
$121 |
| Before |
$174 |
$58 |
$63 |
$126 |
|
| Change |
- 6 u |
- 2 u |
- 1 u |
- 2 u |
|
| After |
6 p |
2 p |
3 p |
6 p |
|
Amount that Wendy had at first
= (121 - 5) ÷ 2
= 116 ÷ 2
= $58
Amount that Lucy had at first
= 58 + 5
= $63
58 - 2 u = 2 p --- (1)
63 - 1 u = 3 p --- (2)
Make p the same.
(1)
x 3
174 - 6 u =
6 p --- (3)
(2)
x 2
126 - 2 u =
6 p --- (4)
(4) = (3)
126 - 2 u = 174 - 6 u
6 u - 2 u = 174 - 126
4 u = 48
1 u = 48 ÷ 4 = 12
Amount that Wendy spent
= 2 u
= 2 x 12
= $24
Answer(s): $24
