Lucy and Marion had $106. Marion had $8 more than Lucy. Lucy spent 2 times as much as Marion and was left with
34 as much as Marion. How much did Lucy spend?
| |
Make p the same
(1)x4 = (3) |
Lucy
(1) |
Marion
(2) |
Make p the same
(2)x3 = (4) |
Total
|
Comparing Lucy
and Marion at first |
|
|
$8 more |
|
$106 |
| Before |
$196 |
$49 |
$57 |
$171 |
|
| Change |
- 8 u |
- 2 u |
- 1 u |
- 3 u |
|
| After |
12 p |
3 p |
4 p |
12 p |
|
Amount that Lucy had at first
= (106 - 8) ÷ 2
= 98 ÷ 2
= $49
Amount that Marion had at first
= 49 + 8
= $57
49 - 2 u = 3 p --- (1)
57 - 1 u = 4 p --- (2)
Make p the same.
(1)
x 4
196 - 8 u =
12 p --- (3)
(2)
x 3
171 - 3 u =
12 p --- (4)
(4) = (3)
171 - 3 u = 196 - 8 u
8 u - 3 u = 196 - 171
5 u = 25
1 u = 25 ÷ 5 = 5
Amount that Lucy spent
= 2 u
= 2 x 5
= $10
Answer(s): $10
