Kathy had 6 times as much money as Eric. After Kathy spent
15 of her money and Eric spent
45 of his money, they had a total of $1660 left.
- How much money did Kathy and Eric have altogether at first?
- Eric spent 45 of his remaining money on a hoodie. What fraction of his original amount of money did he spend on the hoodie?
| |
Kathy |
Eric |
Total |
| Before |
6 u |
1 u |
|
| Change |
- 1.2 u |
- 0.8 u |
|
| After |
4.8 u |
0.2 u |
$1660 |
(a)
Amount that Kathy spent
=
15 x 6 u
= 1.2 u
Amount that Eric spent
=
45 x 1 u
= 0.8 u
Amount that Kathy and Eric spent
= 1.2 u + 0.8 u
= 5 u
5 u = 1660
1 u = 1660 ÷ 5 = 332
Amount that Kathy and Eric had altogether at first
= 6 u + 1 u
= 7 u
= 7 x 332
= $2324
(b)
Amount that Eric spent on the hoodie
=
45 x 0.2 u
= 0.16 u
Fraction of Eric's original amount that he spent on a hoodie
=
0.161 =
0.16 x 1001 x 100=
16100=
425 Answer(s): (a) $2324; (b)
425 
