Emily and Gabby had $199. Gabby had $3 more than Emily. Emily spent 4 times as much as Gabby and was left with
35 as much as Gabby. How much did Emily spend?
| |
Make p the same
(1)x5 = (3) |
Emily
(1) |
Gabby
(2) |
Make p the same
(2)x3 = (4) |
Total
|
Comparing Emily
and Gabby at first |
|
|
$3 more |
|
$199 |
| Before |
$490 |
$98 |
$101 |
$303 |
|
| Change |
- 20 u |
- 4 u |
- 1 u |
- 3 u |
|
| After |
15 p |
3 p |
5 p |
15 p |
|
Amount that Emily had at first
= (199 - 3) ÷ 2
= 196 ÷ 2
= $98
Amount that Gabby had at first
= 98 + 3
= $101
98 - 4 u = 3 p --- (1)
101 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
490 - 20 u =
15 p --- (3)
(2)
x 3
303 - 3 u =
15 p --- (4)
(4) = (3)
303 - 3 u = 490 - 20 u
20 u - 3 u = 490 - 303
17 u = 187
1 u = 187 ÷ 17 = 11
Amount that Emily spent
= 4 u
= 4 x 11
= $44
Answer(s): $44
