Jaslyn and Ivory had $137. Ivory had $11 more than Jaslyn. Jaslyn spent 2 times as much as Ivory and was left with
34 as much as Ivory. How much did Jaslyn spend?
| |
Make p the same
(1)x4 = (3) |
Jaslyn
(1) |
Ivory
(2) |
Make p the same
(2)x3 = (4) |
Total
|
Comparing Jaslyn
and Ivory at first |
|
|
$11 more |
|
$137 |
| Before |
$252 |
$63 |
$74 |
$222 |
|
| Change |
- 8 u |
- 2 u |
- 1 u |
- 3 u |
|
| After |
12 p |
3 p |
4 p |
12 p |
|
Amount that Jaslyn had at first
= (137 - 11) ÷ 2
= 126 ÷ 2
= $63
Amount that Ivory had at first
= 63 + 11
= $74
63 - 2 u = 3 p --- (1)
74 - 1 u = 4 p --- (2)
Make p the same.
(1)
x 4
252 - 8 u =
12 p --- (3)
(2)
x 3
222 - 3 u =
12 p --- (4)
(4) = (3)
222 - 3 u = 252 - 8 u
8 u - 3 u = 252 - 222
5 u = 30
1 u = 30 ÷ 5 = 6
Amount that Jaslyn spent
= 2 u
= 2 x 6
= $12
Answer(s): $12
