Wendy and Lynn had $172. Lynn had $10 more than Wendy. Wendy spent 3 times as much as Lynn and was left with
35 as much as Lynn. How much did Wendy spend more than Lynn?
| |
Make p the same
(1)x5 = (3) |
Wendy
(1) |
Lynn
(2) |
Make p the same
(2)x3 = (4) |
Total
|
Comparing Wendy
and Lynn at first |
|
|
$10 more |
|
$172 |
| Before |
$405 |
$81 |
$91 |
$273 |
|
| Change |
- 15 u |
- 3 u |
- 1 u |
- 3 u |
|
| After |
15 p |
3 p |
5 p |
15 p |
|
Amount that Wendy had at first
= (172 - 10) ÷ 2
= 162 ÷ 2
= $81
Amount that Lynn had at first
= 81 + 10
= $91
81 - 3 u = 3 p --- (1)
91 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
405 - 15 u =
15 p --- (3)
(2)
x 3
273 - 3 u =
15 p --- (4)
(4) = (3)
273 - 3 u = 405 - 15 u
15 u - 3 u = 405 - 273
12 u = 132
1 u = 132 ÷ 12 = 11
Amount that Wendy spent more than Lynn
= 3 u - 1 u
= 2 u
= 2 x 11
= $22
Answer(s): $22
