Kylie had 5 times as much money as Tommy. After Kylie spent
15 of her money and Tommy spent
45 of his money, they had a total of $2142 left.
- How much money did Kylie and Tommy have altogether at first?
- Tommy spent 45 of his remaining money on a blouse. What fraction of his original amount of money did he spend on the blouse?
| |
Kylie |
Tommy |
Total |
| Before |
5 u |
1 u |
|
| Change |
- 1 u |
- 0.8 u |
|
| After |
4 u |
0.2 u |
$2142 |
(a)
Amount that Kylie spent
=
15 x 5 u
= 1 u
Amount that Tommy spent
=
45 x 1 u
= 0.8 u
Amount that Kylie and Tommy spent
= 1 u + 0.8 u
= 4.2 u
4.2 u = 2142
1 u = 2142 ÷ 4.2 = 510
Amount that Kylie and Tommy had altogether at first
= 5 u + 1 u
= 6 u
= 6 x 510
= $3060
(b)
Amount that Tommy spent on the blouse
=
45 x 0.2 u
= 0.16 u
Fraction of Tommy's original amount that he spent on a blouse
=
0.161 =
0.16 x 1001 x 100=
16100=
425 Answer(s): (a) $3060; (b)
425 
