Gabby had 3 times as much money as Fred. After Gabby spent
15 of her money and Fred spent
35 of his money, they had a total of $1974 left.
- How much money did Gabby and Fred have altogether at first?
- Fred spent 38 of his remaining money on a blouse. What fraction of his original amount of money did he spend on the blouse?
| |
Gabby |
Fred |
Total |
| Before |
3 u |
1 u |
|
| Change |
- 0.6 u |
- 0.6 u |
|
| After |
2.4 u |
0.4 u |
$1974 |
(a)
Amount that Gabby spent
=
15 x 3 u
= 0.6 u
Amount that Fred spent
=
35 x 1 u
= 0.6 u
Amount that Gabby and Fred spent
= 0.6 u + 0.6 u
= 2.8 u
2.8 u = 1974
1 u = 1974 ÷ 2.8 = 705
Amount that Gabby and Fred had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 705
= $2820
(b)
Amount that Fred spent on the blouse
=
38 x 0.4 u
= 0.15 u
Fraction of Fred's original amount that he spent on a blouse
=
0.151 =
0.15 x 1001 x 100=
15100=
320 Answer(s): (a) $2820; (b)
320 
