Emma had 6 times as much money as Eric. After Emma spent
15 of her money and Eric spent
45 of his money, they had a total of $1940 left.
- How much money did Emma and Eric have altogether at first?
- Eric spent 34 of his remaining money on a hoodie. What fraction of his original amount of money did he spend on the hoodie?
|
Emma |
Eric |
Total |
Before |
6 u |
1 u |
|
Change |
- 1.2 u |
- 0.8 u |
|
After |
4.8 u |
0.2 u |
$1940 |
(a)
Amount that Emma spent
=
15 x 6 u
= 1.2 u
Amount that Eric spent
=
45 x 1 u
= 0.8 u
Amount that Emma and Eric spent
= 1.2 u + 0.8 u
= 5 u
5 u = 1940
1 u = 1940 ÷ 5 = 388
Amount that Emma and Eric had altogether at first
= 6 u + 1 u
= 7 u
= 7 x 388
= $2716
(b)
Amount that Eric spent on the hoodie
=
34 x 0.2 u
= 0.15 u
Fraction of Eric's original amount that he spent on a hoodie
=
0.151 =
0.15 x 1001 x 100=
15100=
320 Answer(s): (a) $2716; (b)
320