Nicole and Hazel had $150. Hazel had $6 more than Nicole. Nicole spent 3 times as much as Hazel and was left with
34 as much as Hazel. How much did Hazel spend less than Nicole?
| |
Make p the same
(1) x 4 = (3) |
Nicole
(1) |
Hazel
(2) |
Make p the same
(2) x 3 = (4) |
Total
|
Comparing Nicole
and Hazel at first |
|
|
$6 more |
|
$150 |
| Before |
$288 |
$72 |
$78 |
$234 |
|
| Change |
- 12 u |
- 3 u |
- 1 u |
- 3 u |
|
| After |
12 p |
3 p |
4 p |
12 p |
|
Amount that Nicole had at first
= (150 - 6) ÷ 2
= 144 ÷ 2
= $72
Amount that Hazel had at first
= 72 + 6
= $78
72 - 3 u = 3 p --- (1)
78 - 1 u = 4 p --- (2)
Make p the same.
(1)
x 4
288 - 12 u =
12 p --- (3)
(2)
x 3
234 - 3 u =
12 p --- (4)
(4) = (3)
234 - 3 u = 288 - 12 u
12 u - 3 u = 288 - 234
9 u = 54
1 u = 54 ÷ 9 = 6
Amount that Hazel spent less than Nicole
= 3 u - 1 u
= 2 u
= 2 x 6
= $12
Answer(s): $12
