Olivia had 5 times as much money as Bobby. After Olivia spent
12 of her money and Bobby spent
45 of his money, they had a total of $1296 left.
- How much money did Olivia and Bobby have altogether at first?
- Bobby spent 35 of his remaining money on a skirt. What fraction of his original amount of money did he spend on the skirt?
| |
Olivia |
Bobby |
Total |
| Before |
5 u |
1 u |
|
| Change |
- 2.5 u |
- 0.8 u |
|
| After |
2.5 u |
0.2 u |
$1296 |
(a)
Amount that Olivia spent
=
12 x 5 u
= 2.5 u
Amount that Bobby spent
=
45 x 1 u
= 0.8 u
Amount that Olivia and Bobby spent
= 2.5 u + 0.8 u
= 2.7 u
2.7 u = 1296
1 u = 1296 ÷ 2.7 = 480
Amount that Olivia and Bobby had altogether at first
= 5 u + 1 u
= 6 u
= 6 x 480
= $2880
(b)
Amount that Bobby spent on the skirt
=
35 x 0.2 u
= 0.12 u
Fraction of Bobby's original amount that he spent on a skirt
=
0.121 =
0.12 x 1001 x 100=
12100=
325 Answer(s): (a) $2880; (b)
325 
