Hazel had 3 times as much money as Fred. After Hazel spent
15 of her money and Fred spent
25 of his money, they had a total of $1674 left.
- How much money did Hazel and Fred have altogether at first?
- Fred spent 112 of his remaining money on a cardigan. What fraction of his original amount of money did he spend on the cardigan?
| |
Hazel |
Fred |
Total |
| Before |
3 u |
1 u |
|
| Change |
- 0.6 u |
- 0.4 u |
|
| After |
2.4 u |
0.6 u |
$1674 |
(a)
Amount that Hazel spent
=
15 x 3 u
= 0.6 u
Amount that Fred spent
=
25 x 1 u
= 0.4 u
Amount that Hazel and Fred spent
= 0.6 u + 0.4 u
= 3 u
3 u = 1674
1 u = 1674 ÷ 3 = 558
Amount that Hazel and Fred had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 558
= $2232
(b)
Amount that Fred spent on the cardigan
=
112 x 0.6 u
= 0.05 u
Fraction of Fred's original amount that he spent on a cardigan
=
0.051 =
0.05 x 1001 x 100=
5100=
120 Answer(s): (a) $2232; (b)
120 
