Hazel and Jade had $162. Jade had $36 more than Hazel. Hazel spent 3 times as much as Jade and was left with
25 as much as Jade. How much did Hazel spend?
| |
Make p the same
(1)x5 = (3) |
Hazel
(1) |
Jade
(2) |
Make p the same
(2)x2 = (4) |
Total
|
Comparing Hazel
and Jade at first |
|
|
$36 more |
|
$162 |
| Before |
$315 |
$63 |
$99 |
$198 |
|
| Change |
- 15 u |
- 3 u |
- 1 u |
- 2 u |
|
| After |
10 p |
2 p |
5 p |
10 p |
|
Amount that Hazel had at first
= (162 - 36) ÷ 2
= 126 ÷ 2
= $63
Amount that Jade had at first
= 63 + 36
= $99
63 - 3 u = 2 p --- (1)
99 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
315 - 15 u =
10 p --- (3)
(2)
x 2
198 - 2 u =
10 p --- (4)
(4) = (3)
198 - 2 u = 315 - 15 u
15 u - 2 u = 315 - 198
13 u = 117
1 u = 117 ÷ 13 = 9
Amount that Hazel spent
= 3 u
= 3 x 9
= $27
Answer(s): $27
