Zoe had 3 times as much money as Flynn. After Zoe spent
12 of her money and Flynn spent
25 of his money, they had a total of $1554 left.
- How much money did Zoe and Flynn have altogether at first?
- Flynn spent 34 of his remaining money on a jacket. What fraction of his original amount of money did he spend on the jacket?
| |
Zoe |
Flynn |
Total |
| Before |
3 u |
1 u |
|
| Change |
- 1.5 u |
- 0.4 u |
|
| After |
1.5 u |
0.6 u |
$1554 |
(a)
Amount that Zoe spent
=
12 x 3 u
= 1.5 u
Amount that Flynn spent
=
25 x 1 u
= 0.4 u
Amount that Zoe and Flynn spent
= 1.5 u + 0.4 u
= 2.1 u
2.1 u = 1554
1 u = 1554 ÷ 2.1 = 740
Amount that Zoe and Flynn had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 740
= $2960
(b)
Amount that Flynn spent on the jacket
=
34 x 0.6 u
= 0.45 u
Fraction of Flynn's original amount that he spent on a jacket
=
0.451 =
0.45 x 1001 x 100=
45100=
920 Answer(s): (a) $2960; (b)
920 
