Rachel and Irene had $184. Irene had $10 more than Rachel. Rachel spent 3 times as much as Irene and was left with
35 as much as Irene. How much did Rachel spend more than Irene?
| |
Make p the same
(1)x5 = (3) |
Rachel
(1) |
Irene
(2) |
Make p the same
(2)x3 = (4) |
Total
|
Comparing Rachel
and Irene at first |
|
|
$10 more |
|
$184 |
| Before |
$435 |
$87 |
$97 |
$291 |
|
| Change |
- 15 u |
- 3 u |
- 1 u |
- 3 u |
|
| After |
15 p |
3 p |
5 p |
15 p |
|
Amount that Rachel had at first
= (184 - 10) ÷ 2
= 174 ÷ 2
= $87
Amount that Irene had at first
= 87 + 10
= $97
87 - 3 u = 3 p --- (1)
97 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
435 - 15 u =
15 p --- (3)
(2)
x 3
291 - 3 u =
15 p --- (4)
(4) = (3)
291 - 3 u = 435 - 15 u
15 u - 3 u = 435 - 291
12 u = 144
1 u = 144 ÷ 12 = 12
Amount that Rachel spent more than Irene
= 3 u - 1 u
= 2 u
= 2 x 12
= $24
Answer(s): $24
