Shannon and Hazel had $111. Hazel had $29 more than Shannon. Shannon spent 3 times as much as Hazel and was left with
25 as much as Hazel. How much did Hazel spend less than Shannon?
| |
Make p the same
(1) x 5 = (3) |
Shannon
(1) |
Hazel
(2) |
Make p the same
(2) x 2 = (4) |
Total
|
Comparing Shannon
and Hazel at first |
|
|
$29 more |
|
$111 |
| Before |
$205 |
$41 |
$70 |
$140 |
|
| Change |
- 15 u |
- 3 u |
- 1 u |
- 2 u |
|
| After |
10 p |
2 p |
5 p |
10 p |
|
Amount that Shannon had at first
= (111 - 29) ÷ 2
= 82 ÷ 2
= $41
Amount that Hazel had at first
= 41 + 29
= $70
41 - 3 u = 2 p --- (1)
70 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
205 - 15 u =
10 p --- (3)
(2)
x 2
140 - 2 u =
10 p --- (4)
(4) = (3)
140 - 2 u = 205 - 15 u
15 u - 2 u = 205 - 140
13 u = 65
1 u = 65 ÷ 13 = 5
Amount that Hazel spent less than Shannon
= 3 u - 1 u
= 2 u
= 2 x 5
= $10
Answer(s): $10
