Yoko and Fanny had $119. Fanny had $7 more than Yoko. Yoko spent 2 times as much as Fanny and was left with
34 as much as Fanny. How much did Yoko spend?
| |
Make p the same
(1)x4 = (3) |
Yoko
(1) |
Fanny
(2) |
Make p the same
(2)x3 = (4) |
Total
|
Comparing Yoko
and Fanny at first |
|
|
$7 more |
|
$119 |
| Before |
$224 |
$56 |
$63 |
$189 |
|
| Change |
- 8 u |
- 2 u |
- 1 u |
- 3 u |
|
| After |
12 p |
3 p |
4 p |
12 p |
|
Amount that Yoko had at first
= (119 - 7) ÷ 2
= 112 ÷ 2
= $56
Amount that Fanny had at first
= 56 + 7
= $63
56 - 2 u = 3 p --- (1)
63 - 1 u = 4 p --- (2)
Make p the same.
(1)
x 4
224 - 8 u =
12 p --- (3)
(2)
x 3
189 - 3 u =
12 p --- (4)
(4) = (3)
189 - 3 u = 224 - 8 u
8 u - 3 u = 224 - 189
5 u = 35
1 u = 35 ÷ 5 = 7
Amount that Yoko spent
= 2 u
= 2 x 7
= $14
Answer(s): $14
