Sarah had 4 times as much money as Luis. After Sarah spent
14 of her money and Luis spent
34 of his money, they had a total of $2093 left.
- How much money did Sarah and Luis have altogether at first?
- Luis spent 15 of his remaining money on a skirt. What fraction of his original amount of money did he spend on the skirt?
| |
Sarah |
Luis |
Total |
| Before |
4 u |
1 u |
|
| Change |
- 1 u |
- 0.75 u |
|
| After |
3 u |
0.25 u |
$2093 |
(a)
Amount that Sarah spent
=
14 x 4 u
= 1 u
Amount that Luis spent
=
34 x 1 u
= 0.75 u
Amount that Sarah and Luis spent
= 1 u + 0.75 u
= 3.25 u
3.25 u = 2093
1 u = 2093 ÷ 3.25 = 644
Amount that Sarah and Luis had altogether at first
= 4 u + 1 u
= 5 u
= 5 x 644
= $3220
(b)
Amount that Luis spent on the skirt
=
15 x 0.25 u
= 0.05 u
Fraction of Luis's original amount that he spent on a skirt
=
0.051 =
0.05 x 1001 x 100=
5100=
120 Answer(s): (a) $3220; (b)
120 
