Shannon and Betty had $200. Betty had $16 more than Shannon. Shannon spent 4 times as much as Betty and was left with
35 as much as Betty. How much did Shannon spend more than Betty?
| |
Make p the same
(1)x5 = (3) |
Shannon
(1) |
Betty
(2) |
Make p the same
(2)x3 = (4) |
Total
|
Comparing Shannon
and Betty at first |
|
|
$16 more |
|
$200 |
| Before |
$460 |
$92 |
$108 |
$324 |
|
| Change |
- 20 u |
- 4 u |
- 1 u |
- 3 u |
|
| After |
15 p |
3 p |
5 p |
15 p |
|
Amount that Shannon had at first
= (200 - 16) ÷ 2
= 184 ÷ 2
= $92
Amount that Betty had at first
= 92 + 16
= $108
92 - 4 u = 3 p --- (1)
108 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
460 - 20 u =
15 p --- (3)
(2)
x 3
324 - 3 u =
15 p --- (4)
(4) = (3)
324 - 3 u = 460 - 20 u
20 u - 3 u = 460 - 324
17 u = 136
1 u = 136 ÷ 17 = 8
Amount that Shannon spent more than Betty
= 4 u - 1 u
= 3 u
= 3 x 8
= $24
Answer(s): $24
