Hazel had 3 times as much money as Xavier. After Hazel spent
12 of her money and Xavier spent
14 of his money, they had a total of $2088 left.
- How much money did Hazel and Xavier have altogether at first?
- Xavier spent 13 of his remaining money on a blouse. What fraction of his original amount of money did he spend on the blouse?
| |
Hazel |
Xavier |
Total |
| Before |
3 u |
1 u |
|
| Change |
- 1.5 u |
- 0.25 u |
|
| After |
1.5 u |
0.75 u |
$2088 |
(a)
Amount that Hazel spent
=
12 x 3 u
= 1.5 u
Amount that Xavier spent
=
14 x 1 u
= 0.25 u
Amount that Hazel and Xavier spent
= 1.5 u + 0.25 u
= 2.25 u
2.25 u = 2088
1 u = 2088 ÷ 2.25 = 928
Amount that Hazel and Xavier had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 928
= $3712
(b)
Amount that Xavier spent on the blouse
=
13 x 0.75 u
= 0.25 u
Fraction of Xavier's original amount that he spent on a blouse
=
0.251 =
0.25 x 1001 x 100=
25100=
14 Answer(s): (a) $3712; (b)
14 
