Rachel and Gillian had $173. Gillian had $31 more than Rachel. Rachel spent 2 times as much as Gillian and was left with
35 as much as Gillian. How much did Rachel spend?
| |
Make p the same
(1)x5 = (3) |
Rachel
(1) |
Gillian
(2) |
Make p the same
(2)x3 = (4) |
Total
|
Comparing Rachel
and Gillian at first |
|
|
$31 more |
|
$173 |
| Before |
$355 |
$71 |
$102 |
$306 |
|
| Change |
- 10 u |
- 2 u |
- 1 u |
- 3 u |
|
| After |
15 p |
3 p |
5 p |
15 p |
|
Amount that Rachel had at first
= (173 - 31) ÷ 2
= 142 ÷ 2
= $71
Amount that Gillian had at first
= 71 + 31
= $102
71 - 2 u = 3 p --- (1)
102 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
355 - 10 u =
15 p --- (3)
(2)
x 3
306 - 3 u =
15 p --- (4)
(4) = (3)
306 - 3 u = 355 - 10 u
10 u - 3 u = 355 - 306
7 u = 49
1 u = 49 ÷ 7 = 7
Amount that Rachel spent
= 2 u
= 2 x 7
= $14
Answer(s): $14
