Gem had 3 times as much money as Carl. After Gem spent
13 of her money and Carl spent
35 of his money, they had a total of $1884 left.
- How much money did Gem and Carl have altogether at first?
- Carl spent 78 of his remaining money on a sweater. What fraction of his original amount of money did he spend on the sweater?
| |
Gem |
Carl |
Total |
| Before |
3 u |
1 u |
|
| Change |
- 1 u |
- 0.6 u |
|
| After |
2 u |
0.4 u |
$1884 |
(a)
Amount that Gem spent
=
13 x 3 u
= 1 u
Amount that Carl spent
=
35 x 1 u
= 0.6 u
Amount that Gem and Carl spent
= 1 u + 0.6 u
= 2.4 u
2.4 u = 1884
1 u = 1884 ÷ 2.4 = 785
Amount that Gem and Carl had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 785
= $3140
(b)
Amount that Carl spent on the sweater
=
78 x 0.4 u
= 0.35 u
Fraction of Carl's original amount that he spent on a sweater
=
0.351 =
0.35 x 1001 x 100=
35100=
720 Answer(s): (a) $3140; (b)
720 
