Xylia had 4 times as much money as Howard. After Xylia spent
12 of her money and Howard spent
14 of his money, they had a total of $1617 left.
- How much money did Xylia and Howard have altogether at first?
- Howard spent 13 of his remaining money on a shirt. What fraction of his original amount of money did he spend on the shirt?
| |
Xylia |
Howard |
Total |
| Before |
4 u |
1 u |
|
| Change |
- 2 u |
- 0.25 u |
|
| After |
2 u |
0.75 u |
$1617 |
(a)
Amount that Xylia spent
=
12 x 4 u
= 2 u
Amount that Howard spent
=
14 x 1 u
= 0.25 u
Amount that Xylia and Howard spent
= 2 u + 0.25 u
= 2.75 u
2.75 u = 1617
1 u = 1617 ÷ 2.75 = 588
Amount that Xylia and Howard had altogether at first
= 4 u + 1 u
= 5 u
= 5 x 588
= $2940
(b)
Amount that Howard spent on the shirt
=
13 x 0.75 u
= 0.25 u
Fraction of Howard's original amount that he spent on a shirt
=
0.251 =
0.25 x 1001 x 100=
25100=
14 Answer(s): (a) $2940; (b)
14 
