Jaslyn and Vanessa had $172. Vanessa had $44 more than Jaslyn. Jaslyn spent 3 times as much as Vanessa and was left with
25 as much as Vanessa. How much did Vanessa spend less than Jaslyn?
| |
Make p the same
(1) x 5 = (3) |
Jaslyn
(1) |
Vanessa
(2) |
Make p the same
(2) x 2 = (4) |
Total
|
Comparing Jaslyn
and Vanessa at first |
|
|
$44 more |
|
$172 |
| Before |
$320 |
$64 |
$108 |
$216 |
|
| Change |
- 15 u |
- 3 u |
- 1 u |
- 2 u |
|
| After |
10 p |
2 p |
5 p |
10 p |
|
Amount that Jaslyn had at first
= (172 - 44) ÷ 2
= 128 ÷ 2
= $64
Amount that Vanessa had at first
= 64 + 44
= $108
64 - 3 u = 2 p --- (1)
108 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
320 - 15 u =
10 p --- (3)
(2)
x 2
216 - 2 u =
10 p --- (4)
(4) = (3)
216 - 2 u = 320 - 15 u
15 u - 2 u = 320 - 216
13 u = 104
1 u = 104 ÷ 13 = 8
Amount that Vanessa spent less than Jaslyn
= 3 u - 1 u
= 2 u
= 2 x 8
= $16
Answer(s): $16
