Victoria and Tammy had $141. Tammy had $49 more than Victoria. Victoria spent 2 times as much as Tammy and was left with
25 as much as Tammy. How much did Victoria spend?
| |
Make p the same
(1)x5 = (3) |
Victoria
(1) |
Tammy
(2) |
Make p the same
(2)x2 = (4) |
Total
|
Comparing Victoria
and Tammy at first |
|
|
$49 more |
|
$141 |
| Before |
$230 |
$46 |
$95 |
$190 |
|
| Change |
- 10 u |
- 2 u |
- 1 u |
- 2 u |
|
| After |
10 p |
2 p |
5 p |
10 p |
|
Amount that Victoria had at first
= (141 - 49) ÷ 2
= 92 ÷ 2
= $46
Amount that Tammy had at first
= 46 + 49
= $95
46 - 2 u = 2 p --- (1)
95 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
230 - 10 u =
10 p --- (3)
(2)
x 2
190 - 2 u =
10 p --- (4)
(4) = (3)
190 - 2 u = 230 - 10 u
10 u - 2 u = 230 - 190
8 u = 40
1 u = 40 ÷ 8 = 5
Amount that Victoria spent
= 2 u
= 2 x 5
= $10
Answer(s): $10
