Gem had 3 times as much money as Simon. After Gem spent
13 of her money and Simon spent
25 of his money, they had a total of $2119 left.
- How much money did Gem and Simon have altogether at first?
- Simon spent 112 of his remaining money on a hoodie. What fraction of his original amount of money did he spend on the hoodie?
| |
Gem |
Simon |
Total |
| Before |
3 u |
1 u |
|
| Change |
- 1 u |
- 0.4 u |
|
| After |
2 u |
0.6 u |
$2119 |
(a)
Amount that Gem spent
=
13 x 3 u
= 1 u
Amount that Simon spent
=
25 x 1 u
= 0.4 u
Amount that Gem and Simon spent
= 1 u + 0.4 u
= 2.6 u
2.6 u = 2119
1 u = 2119 ÷ 2.6 = 815
Amount that Gem and Simon had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 815
= $3260
(b)
Amount that Simon spent on the hoodie
=
112 x 0.6 u
= 0.05 u
Fraction of Simon's original amount that he spent on a hoodie
=
0.051 =
0.05 x 1001 x 100=
5100=
120 Answer(s): (a) $3260; (b)
120 
