Usha had 3 times as much money as Sean. After Usha spent
15 of her money and Sean spent
25 of his money, they had a total of $1476 left.
- How much money did Usha and Sean have altogether at first?
- Sean spent 34 of his remaining money on a jacket. What fraction of his original amount of money did he spend on the jacket?
| |
Usha |
Sean |
Total |
| Before |
3 u |
1 u |
|
| Change |
- 0.6 u |
- 0.4 u |
|
| After |
2.4 u |
0.6 u |
$1476 |
(a)
Amount that Usha spent
=
15 x 3 u
= 0.6 u
Amount that Sean spent
=
25 x 1 u
= 0.4 u
Amount that Usha and Sean spent
= 0.6 u + 0.4 u
= 3 u
3 u = 1476
1 u = 1476 ÷ 3 = 492
Amount that Usha and Sean had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 492
= $1968
(b)
Amount that Sean spent on the jacket
=
34 x 0.6 u
= 0.45 u
Fraction of Sean's original amount that he spent on a jacket
=
0.451 =
0.45 x 1001 x 100=
45100=
920 Answer(s): (a) $1968; (b)
920 
