Eva and Elyse had $139. Elyse had $5 more than Eva. Eva spent 4 times as much as Elyse and was left with
35 as much as Elyse. How much did Eva spend more than Elyse?
| |
Make p the same
(1)x5 = (3) |
Eva
(1) |
Elyse
(2) |
Make p the same
(2)x3 = (4) |
Total
|
Comparing Eva
and Elyse at first |
|
|
$5 more |
|
$139 |
| Before |
$335 |
$67 |
$72 |
$216 |
|
| Change |
- 20 u |
- 4 u |
- 1 u |
- 3 u |
|
| After |
15 p |
3 p |
5 p |
15 p |
|
Amount that Eva had at first
= (139 - 5) ÷ 2
= 134 ÷ 2
= $67
Amount that Elyse had at first
= 67 + 5
= $72
67 - 4 u = 3 p --- (1)
72 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
335 - 20 u =
15 p --- (3)
(2)
x 3
216 - 3 u =
15 p --- (4)
(4) = (3)
216 - 3 u = 335 - 20 u
20 u - 3 u = 335 - 216
17 u = 119
1 u = 119 ÷ 17 = 7
Amount that Eva spent more than Elyse
= 4 u - 1 u
= 3 u
= 3 x 7
= $21
Answer(s): $21
