Anna had 6 times as much money as Asher. After Anna spent
15 of her money and Asher spent
35 of his money, they had a total of $1248 left.
- How much money did Anna and Asher have altogether at first?
- Asher spent 15 of his remaining money on a shirt. What fraction of his original amount of money did he spend on the shirt?
|
Anna |
Asher |
Total |
Before |
6 u |
1 u |
|
Change |
- 1.2 u |
- 0.6 u |
|
After |
4.8 u |
0.4 u |
$1248 |
(a)
Amount that Anna spent
=
15 x 6 u
= 1.2 u
Amount that Asher spent
=
35 x 1 u
= 0.6 u
Amount that Anna and Asher spent
= 1.2 u + 0.6 u
= 5.2 u
5.2 u = 1248
1 u = 1248 ÷ 5.2 = 240
Amount that Anna and Asher had altogether at first
= 6 u + 1 u
= 7 u
= 7 x 240
= $1680
(b)
Amount that Asher spent on the shirt
=
15 x 0.4 u
= 0.08 u
Fraction of Asher's original amount that he spent on a shirt
=
0.081 =
0.08 x 1001 x 100=
8100=
225 Answer(s): (a) $1680; (b)
225