Opal and Tiffany had $188. Tiffany had $14 more than Opal. Opal spent 3 times as much as Tiffany and was left with
35 as much as Tiffany. How much did Tiffany spend less than Opal?
| |
Make p the same
(1) x 5 = (3) |
Opal
(1) |
Tiffany
(2) |
Make p the same
(2) x 3 = (4) |
Total
|
Comparing Opal
and Tiffany at first |
|
|
$14 more |
|
$188 |
| Before |
$435 |
$87 |
$101 |
$303 |
|
| Change |
- 15 u |
- 3 u |
- 1 u |
- 3 u |
|
| After |
15 p |
3 p |
5 p |
15 p |
|
Amount that Opal had at first
= (188 - 14) ÷ 2
= 174 ÷ 2
= $87
Amount that Tiffany had at first
= 87 + 14
= $101
87 - 3 u = 3 p --- (1)
101 - 1 u = 5 p --- (2)
Make p the same.
(1)
x 5
435 - 15 u =
15 p --- (3)
(2)
x 3
303 - 3 u =
15 p --- (4)
(4) = (3)
303 - 3 u = 435 - 15 u
15 u - 3 u = 435 - 303
12 u = 132
1 u = 132 ÷ 12 = 11
Amount that Tiffany spent less than Opal
= 3 u - 1 u
= 2 u
= 2 x 11
= $22
Answer(s): $22
