Gabby had 6 times as much money as Charlie. After Gabby spent
13 of her money and Charlie spent
35 of his money, they had a total of $1980 left.
- How much money did Gabby and Charlie have altogether at first?
- Charlie spent 58 of his remaining money on a sweater. What fraction of his original amount of money did he spend on the sweater?
| |
Gabby |
Charlie |
Total |
| Before |
6 u |
1 u |
|
| Change |
- 2 u |
- 0.6 u |
|
| After |
4 u |
0.4 u |
$1980 |
(a)
Amount that Gabby spent
=
13 x 6 u
= 2 u
Amount that Charlie spent
=
35 x 1 u
= 0.6 u
Amount that Gabby and Charlie spent
= 2 u + 0.6 u
= 4.4 u
4.4 u = 1980
1 u = 1980 ÷ 4.4 = 450
Amount that Gabby and Charlie had altogether at first
= 6 u + 1 u
= 7 u
= 7 x 450
= $3150
(b)
Amount that Charlie spent on the sweater
=
58 x 0.4 u
= 0.25 u
Fraction of Charlie's original amount that he spent on a sweater
=
0.251 =
0.25 x 1001 x 100=
25100=
14 Answer(s): (a) $3150; (b)
14 
