Rachel and Emily had $173. Emily had $33 more than Rachel. Rachel spent 4 times as much as Emily and was left with
25 as much as Emily. How much did Rachel spend more than Emily?
| |
Make p the same
(1)x5 = (3) |
Rachel
(1) |
Emily
(2) |
Make p the same
(2)x2 = (4) |
Total
|
Comparing Rachel
and Emily at first |
|
|
$33 more |
|
$173 |
| Before |
$350 |
$70 |
$103 |
$206 |
|
| Change |
- 20 u |
- 4 u |
- 1 u |
- 2 u |
|
| After |
10 p |
2 p |
5 p |
10 p |
|
Amount that Rachel had at first
= (173 - 33) ÷ 2
= 140 ÷ 2
= $70
Amount that Emily had at first
= 70 + 33
= $103
70 - 4 u = 2 p --- (1)
103 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
350 - 20 u =
10 p --- (3)
(2)
x 2
206 - 2 u =
10 p --- (4)
(4) = (3)
206 - 2 u = 350 - 20 u
20 u - 2 u = 350 - 206
18 u = 144
1 u = 144 ÷ 18 = 8
Amount that Rachel spent more than Emily
= 4 u - 1 u
= 3 u
= 3 x 8
= $24
Answer(s): $24
