Zoe had 6 times as much money as Liam. After Zoe spent
13 of her money and Liam spent
45 of his money, they had a total of $1974 left.
- How much money did Zoe and Liam have altogether at first?
- Liam spent 14 of his remaining money on a hoodie. What fraction of his original amount of money did he spend on the hoodie?
| |
Zoe |
Liam |
Total |
| Before |
6 u |
1 u |
|
| Change |
- 2 u |
- 0.8 u |
|
| After |
4 u |
0.2 u |
$1974 |
(a)
Amount that Zoe spent
=
13 x 6 u
= 2 u
Amount that Liam spent
=
45 x 1 u
= 0.8 u
Amount that Zoe and Liam spent
= 2 u + 0.8 u
= 4.2 u
4.2 u = 1974
1 u = 1974 ÷ 4.2 = 470
Amount that Zoe and Liam had altogether at first
= 6 u + 1 u
= 7 u
= 7 x 470
= $3290
(b)
Amount that Liam spent on the hoodie
=
14 x 0.2 u
= 0.05 u
Fraction of Liam's original amount that he spent on a hoodie
=
0.051 =
0.05 x 1001 x 100=
5100=
120 Answer(s): (a) $3290; (b)
120 
