Xuan had 4 times as much money as Tim. After Xuan spent
14 of her money and Tim spent
34 of his money, they had a total of $1573 left.
- How much money did Xuan and Tim have altogether at first?
- Tim spent 15 of his remaining money on a jacket. What fraction of his original amount of money did he spend on the jacket?
| |
Xuan |
Tim |
Total |
| Before |
4 u |
1 u |
|
| Change |
- 1 u |
- 0.75 u |
|
| After |
3 u |
0.25 u |
$1573 |
(a)
Amount that Xuan spent
=
14 x 4 u
= 1 u
Amount that Tim spent
=
34 x 1 u
= 0.75 u
Amount that Xuan and Tim spent
= 1 u + 0.75 u
= 3.25 u
3.25 u = 1573
1 u = 1573 ÷ 3.25 = 484
Amount that Xuan and Tim had altogether at first
= 4 u + 1 u
= 5 u
= 5 x 484
= $2420
(b)
Amount that Tim spent on the jacket
=
15 x 0.25 u
= 0.05 u
Fraction of Tim's original amount that he spent on a jacket
=
0.051 =
0.05 x 1001 x 100=
5100=
120 Answer(s): (a) $2420; (b)
120 
