Shannon and Mary had $157. Mary had $11 more than Shannon. Shannon spent 2 times as much as Mary and was left with
34 as much as Mary. How much did Shannon spend?
| |
Make p the same
(1)x4 = (3) |
Shannon
(1) |
Mary
(2) |
Make p the same
(2)x3 = (4) |
Total
|
Comparing Shannon
and Mary at first |
|
|
$11 more |
|
$157 |
| Before |
$292 |
$73 |
$84 |
$252 |
|
| Change |
- 8 u |
- 2 u |
- 1 u |
- 3 u |
|
| After |
12 p |
3 p |
4 p |
12 p |
|
Amount that Shannon had at first
= (157 - 11) ÷ 2
= 146 ÷ 2
= $73
Amount that Mary had at first
= 73 + 11
= $84
73 - 2 u = 3 p --- (1)
84 - 1 u = 4 p --- (2)
Make p the same.
(1)
x 4
292 - 8 u =
12 p --- (3)
(2)
x 3
252 - 3 u =
12 p --- (4)
(4) = (3)
252 - 3 u = 292 - 8 u
8 u - 3 u = 292 - 252
5 u = 40
1 u = 40 ÷ 5 = 8
Amount that Shannon spent
= 2 u
= 2 x 8
= $16
Answer(s): $16
