Jaslyn and Kathy had $156. Kathy had $18 more than Jaslyn. Jaslyn spent 2 times as much as Kathy and was left with
35 as much as Kathy. How much did Jaslyn spend?
| |
Make p the same
(1)x5 = (3) |
Jaslyn
(1) |
Kathy
(2) |
Make p the same
(2)x3 = (4) |
Total
|
Comparing Jaslyn
and Kathy at first |
|
|
$18 more |
|
$156 |
| Before |
$345 |
$69 |
$87 |
$261 |
|
| Change |
- 10 u |
- 2 u |
- 1 u |
- 3 u |
|
| After |
15 p |
3 p |
5 p |
15 p |
|
Amount that Jaslyn had at first
= (156 - 18) ÷ 2
= 138 ÷ 2
= $69
Amount that Kathy had at first
= 69 + 18
= $87
69 - 2 u = 3 p --- (1)
87 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
345 - 10 u =
15 p --- (3)
(2)
x 3
261 - 3 u =
15 p --- (4)
(4) = (3)
261 - 3 u = 345 - 10 u
10 u - 3 u = 345 - 261
7 u = 84
1 u = 84 ÷ 7 = 12
Amount that Jaslyn spent
= 2 u
= 2 x 12
= $24
Answer(s): $24
