Kylie had 5 times as much money as Glen. After Kylie spent
12 of her money and Glen spent
45 of his money, they had a total of $1242 left.
- How much money did Kylie and Glen have altogether at first?
- Glen spent 45 of his remaining money on a jacket. What fraction of his original amount of money did he spend on the jacket?
| |
Kylie |
Glen |
Total |
| Before |
5 u |
1 u |
|
| Change |
- 2.5 u |
- 0.8 u |
|
| After |
2.5 u |
0.2 u |
$1242 |
(a)
Amount that Kylie spent
=
12 x 5 u
= 2.5 u
Amount that Glen spent
=
45 x 1 u
= 0.8 u
Amount that Kylie and Glen spent
= 2.5 u + 0.8 u
= 2.7 u
2.7 u = 1242
1 u = 1242 ÷ 2.7 = 460
Amount that Kylie and Glen had altogether at first
= 5 u + 1 u
= 6 u
= 6 x 460
= $2760
(b)
Amount that Glen spent on the jacket
=
45 x 0.2 u
= 0.16 u
Fraction of Glen's original amount that he spent on a jacket
=
0.161 =
0.16 x 1001 x 100=
16100=
425 Answer(s): (a) $2760; (b)
425 
