Fiona and Gabby had $147. Gabby had $27 more than Fiona. Fiona spent 4 times as much as Gabby and was left with
25 as much as Gabby. How much did Fiona spend more than Gabby?
| |
Make p the same
(1)x5 = (3) |
Fiona
(1) |
Gabby
(2) |
Make p the same
(2)x2 = (4) |
Total
|
Comparing Fiona
and Gabby at first |
|
|
$27 more |
|
$147 |
| Before |
$300 |
$60 |
$87 |
$174 |
|
| Change |
- 20 u |
- 4 u |
- 1 u |
- 2 u |
|
| After |
10 p |
2 p |
5 p |
10 p |
|
Amount that Fiona had at first
= (147 - 27) ÷ 2
= 120 ÷ 2
= $60
Amount that Gabby had at first
= 60 + 27
= $87
60 - 4 u = 2 p --- (1)
87 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
300 - 20 u =
10 p --- (3)
(2)
x 2
174 - 2 u =
10 p --- (4)
(4) = (3)
174 - 2 u = 300 - 20 u
20 u - 2 u = 300 - 174
18 u = 126
1 u = 126 ÷ 18 = 7
Amount that Fiona spent more than Gabby
= 4 u - 1 u
= 3 u
= 3 x 7
= $21
Answer(s): $21
