Raeann and Erika had $132. Erika had $4 more than Raeann. Raeann spent 3 times as much as Erika and was left with
23 as much as Erika. How much did Raeann spend more than Erika?
| |
Make p the same
(1)x3 = (3) |
Raeann
(1) |
Erika
(2) |
Make p the same
(2)x2 = (4) |
Total
|
Comparing Raeann
and Erika at first |
|
|
$4 more |
|
$132 |
| Before |
$192 |
$64 |
$68 |
$136 |
|
| Change |
- 9 u |
- 3 u |
- 1 u |
- 2 u |
|
| After |
6 p |
2 p |
3 p |
6 p |
|
Amount that Raeann had at first
= (132 - 4) ÷ 2
= 128 ÷ 2
= $64
Amount that Erika had at first
= 64 + 4
= $68
64 - 3 u = 2 p --- (1)
68 - 1 u = 3 p --- (2)
Make p the same.
(1)
x 3
192 - 9 u =
6 p --- (3)
(2)
x 2
136 - 2 u =
6 p --- (4)
(4) = (3)
136 - 2 u = 192 - 9 u
9 u - 2 u = 192 - 136
7 u = 56
1 u = 56 ÷ 7 = 8
Amount that Raeann spent more than Erika
= 3 u - 1 u
= 2 u
= 2 x 8
= $16
Answer(s): $16
