Barbara had 3 times as much money as Warren. After Barbara spent
15 of her money and Warren spent
25 of his money, they had a total of $1116 left.
- How much money did Barbara and Warren have altogether at first?
- Warren spent 34 of his remaining money on a hoodie. What fraction of his original amount of money did he spend on the hoodie?
| |
Barbara |
Warren |
Total |
| Before |
3 u |
1 u |
|
| Change |
- 0.6 u |
- 0.4 u |
|
| After |
2.4 u |
0.6 u |
$1116 |
(a)
Amount that Barbara spent
=
15 x 3 u
= 0.6 u
Amount that Warren spent
=
25 x 1 u
= 0.4 u
Amount that Barbara and Warren spent
= 0.6 u + 0.4 u
= 3 u
3 u = 1116
1 u = 1116 ÷ 3 = 372
Amount that Barbara and Warren had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 372
= $1488
(b)
Amount that Warren spent on the hoodie
=
34 x 0.6 u
= 0.45 u
Fraction of Warren's original amount that he spent on a hoodie
=
0.451 =
0.45 x 1001 x 100=
45100=
920 Answer(s): (a) $1488; (b)
920 
