Zoe had 3 times as much money as Owen. After Zoe spent
15 of her money and Owen spent
25 of his money, they had a total of $1356 left.
- How much money did Zoe and Owen have altogether at first?
- Owen spent 14 of his remaining money on a cardigan. What fraction of his original amount of money did he spend on the cardigan?
| |
Zoe |
Owen |
Total |
| Before |
3 u |
1 u |
|
| Change |
- 0.6 u |
- 0.4 u |
|
| After |
2.4 u |
0.6 u |
$1356 |
(a)
Amount that Zoe spent
=
15 x 3 u
= 0.6 u
Amount that Owen spent
=
25 x 1 u
= 0.4 u
Amount that Zoe and Owen spent
= 0.6 u + 0.4 u
= 3 u
3 u = 1356
1 u = 1356 ÷ 3 = 452
Amount that Zoe and Owen had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 452
= $1808
(b)
Amount that Owen spent on the cardigan
=
14 x 0.6 u
= 0.15 u
Fraction of Owen's original amount that he spent on a cardigan
=
0.151 =
0.15 x 1001 x 100=
15100=
320 Answer(s): (a) $1808; (b)
320 
