Victoria had 5 times as much money as Ethan. After Victoria spent
15 of her money and Ethan spent
35 of his money, they had a total of $1232 left.
- How much money did Victoria and Ethan have altogether at first?
- Ethan spent 58 of his remaining money on a skirt. What fraction of his original amount of money did he spend on the skirt?
| |
Victoria |
Ethan |
Total |
| Before |
5 u |
1 u |
|
| Change |
- 1 u |
- 0.6 u |
|
| After |
4 u |
0.4 u |
$1232 |
(a)
Amount that Victoria spent
=
15 x 5 u
= 1 u
Amount that Ethan spent
=
35 x 1 u
= 0.6 u
Amount that Victoria and Ethan spent
= 1 u + 0.6 u
= 4.4 u
4.4 u = 1232
1 u = 1232 ÷ 4.4 = 280
Amount that Victoria and Ethan had altogether at first
= 5 u + 1 u
= 6 u
= 6 x 280
= $1680
(b)
Amount that Ethan spent on the skirt
=
58 x 0.4 u
= 0.25 u
Fraction of Ethan's original amount that he spent on a skirt
=
0.251 =
0.25 x 1001 x 100=
25100=
14 Answer(s): (a) $1680; (b)
14 
