Tiffany had 5 times as much money as Oscar. After Tiffany spent
15 of her money and Oscar spent
14 of his money, they had a total of $1235 left.
- How much money did Tiffany and Oscar have altogether at first?
- Oscar spent 15 of his remaining money on a sweater. What fraction of his original amount of money did he spend on the sweater?
| |
Tiffany |
Oscar |
Total |
| Before |
5 u |
1 u |
|
| Change |
- 1 u |
- 0.25 u |
|
| After |
4 u |
0.75 u |
$1235 |
(a)
Amount that Tiffany spent
=
15 x 5 u
= 1 u
Amount that Oscar spent
=
14 x 1 u
= 0.25 u
Amount that Tiffany and Oscar spent
= 1 u + 0.25 u
= 4.75 u
4.75 u = 1235
1 u = 1235 ÷ 4.75 = 260
Amount that Tiffany and Oscar had altogether at first
= 5 u + 1 u
= 6 u
= 6 x 260
= $1560
(b)
Amount that Oscar spent on the sweater
=
15 x 0.75 u
= 0.15 u
Fraction of Oscar's original amount that he spent on a sweater
=
0.151 =
0.15 x 1001 x 100=
15100=
320 Answer(s): (a) $1560; (b)
320 
