Gwen had 3 times as much money as Oscar. After Gwen spent
14 of her money and Oscar spent
45 of his money, they had a total of $1960 left.
- How much money did Gwen and Oscar have altogether at first?
- Oscar spent 310 of his remaining money on a skirt. What fraction of his original amount of money did he spend on the skirt?
|
Gwen |
Oscar |
Total |
Before |
3 u |
1 u |
|
Change |
- 0.75 u |
- 0.8 u |
|
After |
2.25 u |
0.2 u |
$1960 |
(a)
Amount that Gwen spent
=
14 x 3 u
= 0.75 u
Amount that Oscar spent
=
45 x 1 u
= 0.8 u
Amount that Gwen and Oscar spent
= 0.75 u + 0.8 u
= 2.45 u
2.45 u = 1960
1 u = 1960 ÷ 2.45 = 800
Amount that Gwen and Oscar had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 800
= $3200
(b)
Amount that Oscar spent on the skirt
=
310 x 0.2 u
= 0.06 u
Fraction of Oscar's original amount that he spent on a skirt
=
0.061 =
0.06 x 1001 x 100=
6100=
350 Answer(s): (a) $3200; (b)
350