Sarah and Jaslyn had $169. Jaslyn had $1 more than Sarah. Sarah spent 3 times as much as Jaslyn and was left with
34 as much as Jaslyn. How much did Sarah spend more than Jaslyn?
| |
Make p the same
(1)x4 = (3) |
Sarah
(1) |
Jaslyn
(2) |
Make p the same
(2)x3 = (4) |
Total
|
Comparing Sarah
and Jaslyn at first |
|
|
$1 more |
|
$169 |
| Before |
$336 |
$84 |
$85 |
$255 |
|
| Change |
- 12 u |
- 3 u |
- 1 u |
- 3 u |
|
| After |
12 p |
3 p |
4 p |
12 p |
|
Amount that Sarah had at first
= (169 - 1) ÷ 2
= 168 ÷ 2
= $84
Amount that Jaslyn had at first
= 84 + 1
= $85
84 - 3 u = 3 p --- (1)
85 - 1 u = 4 p --- (2)
Make p the same.
(1)
x 4
336 - 12 u =
12 p --- (3)
(2)
x 3
255 - 3 u =
12 p --- (4)
(4) = (3)
255 - 3 u = 336 - 12 u
12 u - 3 u = 336 - 255
9 u = 81
1 u = 81 ÷ 9 = 9
Amount that Sarah spent more than Jaslyn
= 3 u - 1 u
= 2 u
= 2 x 9
= $18
Answer(s): $18
