Tiffany had 3 times as much money as Dylan. After Tiffany spent
15 of her money and Dylan spent
25 of his money, they had a total of $2088 left.
- How much money did Tiffany and Dylan have altogether at first?
- Dylan spent 25 of his remaining money on a jacket. What fraction of his original amount of money did he spend on the jacket?
|
Tiffany |
Dylan |
Total |
Before |
3 u |
1 u |
|
Change |
- 0.6 u |
- 0.4 u |
|
After |
2.4 u |
0.6 u |
$2088 |
(a)
Amount that Tiffany spent
=
15 x 3 u
= 0.6 u
Amount that Dylan spent
=
25 x 1 u
= 0.4 u
Amount that Tiffany and Dylan spent
= 0.6 u + 0.4 u
= 3 u
3 u = 2088
1 u = 2088 ÷ 3 = 696
Amount that Tiffany and Dylan had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 696
= $2784
(b)
Amount that Dylan spent on the jacket
=
25 x 0.6 u
= 0.24 u
Fraction of Dylan's original amount that he spent on a jacket
=
0.241 =
0.24 x 1001 x 100=
24100=
625 Answer(s): (a) $2784; (b)
625