Usha had 3 times as much money as Ivan. After Usha spent
12 of her money and Ivan spent
45 of his money, they had a total of $2040 left.
- How much money did Usha and Ivan have altogether at first?
- Ivan spent 14 of his remaining money on a skirt. What fraction of his original amount of money did he spend on the skirt?
|
Usha |
Ivan |
Total |
Before |
3 u |
1 u |
|
Change |
- 1.5 u |
- 0.8 u |
|
After |
1.5 u |
0.2 u |
$2040 |
(a)
Amount that Usha spent
=
12 x 3 u
= 1.5 u
Amount that Ivan spent
=
45 x 1 u
= 0.8 u
Amount that Usha and Ivan spent
= 1.5 u + 0.8 u
= 1.7 u
1.7 u = 2040
1 u = 2040 ÷ 1.7 = 1200
Amount that Usha and Ivan had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 1200
= $4800
(b)
Amount that Ivan spent on the skirt
=
14 x 0.2 u
= 0.05 u
Fraction of Ivan's original amount that he spent on a skirt
=
0.051 =
0.05 x 1001 x 100=
5100=
120 Answer(s): (a) $4800; (b)
120