Raeann and Pamela had $176. Pamela had $8 more than Raeann. Raeann spent 3 times as much as Pamela and was left with
35 as much as Pamela. How much did Pamela spend less than Raeann?
| |
Make p the same
(1) x 5 = (3) |
Raeann
(1) |
Pamela
(2) |
Make p the same
(2) x 3 = (4) |
Total
|
Comparing Raeann
and Pamela at first |
|
|
$8 more |
|
$176 |
| Before |
$420 |
$84 |
$92 |
$276 |
|
| Change |
- 15 u |
- 3 u |
- 1 u |
- 3 u |
|
| After |
15 p |
3 p |
5 p |
15 p |
|
Amount that Raeann had at first
= (176 - 8) ÷ 2
= 168 ÷ 2
= $84
Amount that Pamela had at first
= 84 + 8
= $92
84 - 3 u = 3 p --- (1)
92 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
420 - 15 u =
15 p --- (3)
(2)
x 3
276 - 3 u =
15 p --- (4)
(4) = (3)
276 - 3 u = 420 - 15 u
15 u - 3 u = 420 - 276
12 u = 144
1 u = 144 ÷ 12 = 12
Amount that Pamela spent less than Raeann
= 3 u - 1 u
= 2 u
= 2 x 12
= $24
Answer(s): $24
