Hilda and Elyse had $116. Elyse had $4 more than Hilda. Hilda spent 2 times as much as Elyse and was left with
23 as much as Elyse. How much did Hilda spend?
| |
Make p the same
(1)x3 = (3) |
Hilda
(1) |
Elyse
(2) |
Make p the same
(2)x2 = (4) |
Total
|
Comparing Hilda
and Elyse at first |
|
|
$4 more |
|
$116 |
| Before |
$168 |
$56 |
$60 |
$120 |
|
| Change |
- 6 u |
- 2 u |
- 1 u |
- 2 u |
|
| After |
6 p |
2 p |
3 p |
6 p |
|
Amount that Hilda had at first
= (116 - 4) ÷ 2
= 112 ÷ 2
= $56
Amount that Elyse had at first
= 56 + 4
= $60
56 - 2 u = 2 p --- (1)
60 - 1 u = 3 p --- (2)
Make p the same.
(1)
x 3
168 - 6 u =
6 p --- (3)
(2)
x 2
120 - 2 u =
6 p --- (4)
(4) = (3)
120 - 2 u = 168 - 6 u
6 u - 2 u = 168 - 120
4 u = 48
1 u = 48 ÷ 4 = 12
Amount that Hilda spent
= 2 u
= 2 x 12
= $24
Answer(s): $24
