Kimberly and Fiona had $139. Fiona had $41 more than Kimberly. Kimberly spent 3 times as much as Fiona and was left with
25 as much as Fiona. How much did Kimberly spend?
| |
Make p the same
(1)x5 = (3) |
Kimberly
(1) |
Fiona
(2) |
Make p the same
(2)x2 = (4) |
Total
|
Comparing Kimberly
and Fiona at first |
|
|
$41 more |
|
$139 |
| Before |
$245 |
$49 |
$90 |
$180 |
|
| Change |
- 15 u |
- 3 u |
- 1 u |
- 2 u |
|
| After |
10 p |
2 p |
5 p |
10 p |
|
Amount that Kimberly had at first
= (139 - 41) ÷ 2
= 98 ÷ 2
= $49
Amount that Fiona had at first
= 49 + 41
= $90
49 - 3 u = 2 p --- (1)
90 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
245 - 15 u =
10 p --- (3)
(2)
x 2
180 - 2 u =
10 p --- (4)
(4) = (3)
180 - 2 u = 245 - 15 u
15 u - 2 u = 245 - 180
13 u = 65
1 u = 65 ÷ 13 = 5
Amount that Kimberly spent
= 3 u
= 3 x 5
= $15
Answer(s): $15
