Tiffany and Yoko had $191. Yoko had $1 more than Tiffany. Tiffany spent 4 times as much as Yoko and was left with
35 as much as Yoko. How much did Tiffany spend?
| |
Make p the same
(1)x5 = (3) |
Tiffany
(1) |
Yoko
(2) |
Make p the same
(2)x3 = (4) |
Total
|
Comparing Tiffany
and Yoko at first |
|
|
$1 more |
|
$191 |
| Before |
$475 |
$95 |
$96 |
$288 |
|
| Change |
- 20 u |
- 4 u |
- 1 u |
- 3 u |
|
| After |
15 p |
3 p |
5 p |
15 p |
|
Amount that Tiffany had at first
= (191 - 1) ÷ 2
= 190 ÷ 2
= $95
Amount that Yoko had at first
= 95 + 1
= $96
95 - 4 u = 3 p --- (1)
96 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
475 - 20 u =
15 p --- (3)
(2)
x 3
288 - 3 u =
15 p --- (4)
(4) = (3)
288 - 3 u = 475 - 20 u
20 u - 3 u = 475 - 288
17 u = 187
1 u = 187 ÷ 17 = 11
Amount that Tiffany spent
= 4 u
= 4 x 11
= $44
Answer(s): $44
