Opal had 4 times as much money as Xavier. After Opal spent
12 of her money and Xavier spent
25 of his money, they had a total of $1456 left.
- How much money did Opal and Xavier have altogether at first?
- Xavier spent 110 of his remaining money on a sweater. What fraction of his original amount of money did he spend on the sweater?
| |
Opal |
Xavier |
Total |
| Before |
4 u |
1 u |
|
| Change |
- 2 u |
- 0.4 u |
|
| After |
2 u |
0.6 u |
$1456 |
(a)
Amount that Opal spent
=
12 x 4 u
= 2 u
Amount that Xavier spent
=
25 x 1 u
= 0.4 u
Amount that Opal and Xavier spent
= 2 u + 0.4 u
= 2.6 u
2.6 u = 1456
1 u = 1456 ÷ 2.6 = 560
Amount that Opal and Xavier had altogether at first
= 4 u + 1 u
= 5 u
= 5 x 560
= $2800
(b)
Amount that Xavier spent on the sweater
=
110 x 0.6 u
= 0.06 u
Fraction of Xavier's original amount that he spent on a sweater
=
0.061 =
0.06 x 1001 x 100=
6100=
350 Answer(s): (a) $2800; (b)
350 
