Risa and Hazel had $162. Hazel had $6 more than Risa. Risa spent 2 times as much as Hazel and was left with
34 as much as Hazel. How much did Risa spend?
| |
Make p the same
(1)x4 = (3) |
Risa
(1) |
Hazel
(2) |
Make p the same
(2)x3 = (4) |
Total
|
Comparing Risa
and Hazel at first |
|
|
$6 more |
|
$162 |
| Before |
$312 |
$78 |
$84 |
$252 |
|
| Change |
- 8 u |
- 2 u |
- 1 u |
- 3 u |
|
| After |
12 p |
3 p |
4 p |
12 p |
|
Amount that Risa had at first
= (162 - 6) ÷ 2
= 156 ÷ 2
= $78
Amount that Hazel had at first
= 78 + 6
= $84
78 - 2 u = 3 p --- (1)
84 - 1 u = 4 p --- (2)
Make p the same.
(1)
x 4
312 - 8 u =
12 p --- (3)
(2)
x 3
252 - 3 u =
12 p --- (4)
(4) = (3)
252 - 3 u = 312 - 8 u
8 u - 3 u = 312 - 252
5 u = 60
1 u = 60 ÷ 5 = 12
Amount that Risa spent
= 2 u
= 2 x 12
= $24
Answer(s): $24
