Sabrina and Shannon had $122. Shannon had $6 more than Sabrina. Sabrina spent 2 times as much as Shannon and was left with
34 as much as Shannon. How much did Sabrina spend?
| |
Make p the same
(1)x4 = (3) |
Sabrina
(1) |
Shannon
(2) |
Make p the same
(2)x3 = (4) |
Total
|
Comparing Sabrina
and Shannon at first |
|
|
$6 more |
|
$122 |
| Before |
$232 |
$58 |
$64 |
$192 |
|
| Change |
- 8 u |
- 2 u |
- 1 u |
- 3 u |
|
| After |
12 p |
3 p |
4 p |
12 p |
|
Amount that Sabrina had at first
= (122 - 6) ÷ 2
= 116 ÷ 2
= $58
Amount that Shannon had at first
= 58 + 6
= $64
58 - 2 u = 3 p --- (1)
64 - 1 u = 4 p --- (2)
Make p the same.
(1)
x 4
232 - 8 u =
12 p --- (3)
(2)
x 3
192 - 3 u =
12 p --- (4)
(4) = (3)
192 - 3 u = 232 - 8 u
8 u - 3 u = 232 - 192
5 u = 40
1 u = 40 ÷ 5 = 8
Amount that Sabrina spent
= 2 u
= 2 x 8
= $16
Answer(s): $16
