Gem had 4 times as much money as Neave. After Gem spent
12 of her money and Neave spent
45 of his money, they had a total of $1738 left.
- How much money did Gem and Neave have altogether at first?
- Neave spent 45 of his remaining money on a jacket. What fraction of his original amount of money did he spend on the jacket?
| |
Gem |
Neave |
Total |
| Before |
4 u |
1 u |
|
| Change |
- 2 u |
- 0.8 u |
|
| After |
2 u |
0.2 u |
$1738 |
(a)
Amount that Gem spent
=
12 x 4 u
= 2 u
Amount that Neave spent
=
45 x 1 u
= 0.8 u
Amount that Gem and Neave spent
= 2 u + 0.8 u
= 2.2 u
2.2 u = 1738
1 u = 1738 ÷ 2.2 = 790
Amount that Gem and Neave had altogether at first
= 4 u + 1 u
= 5 u
= 5 x 790
= $3950
(b)
Amount that Neave spent on the jacket
=
45 x 0.2 u
= 0.16 u
Fraction of Neave's original amount that he spent on a jacket
=
0.161 =
0.16 x 1001 x 100=
16100=
425 Answer(s): (a) $3950; (b)
425 
