Anna had 4 times as much money as Wesley. After Anna spent
12 of her money and Wesley spent
35 of his money, they had a total of $1788 left.
- How much money did Anna and Wesley have altogether at first?
- Wesley spent 18 of his remaining money on a hoodie. What fraction of his original amount of money did he spend on the hoodie?
|
Anna |
Wesley |
Total |
Before |
4 u |
1 u |
|
Change |
- 2 u |
- 0.6 u |
|
After |
2 u |
0.4 u |
$1788 |
(a)
Amount that Anna spent
=
12 x 4 u
= 2 u
Amount that Wesley spent
=
35 x 1 u
= 0.6 u
Amount that Anna and Wesley spent
= 2 u + 0.6 u
= 2.4 u
2.4 u = 1788
1 u = 1788 ÷ 2.4 = 745
Amount that Anna and Wesley had altogether at first
= 4 u + 1 u
= 5 u
= 5 x 745
= $3725
(b)
Amount that Wesley spent on the hoodie
=
18 x 0.4 u
= 0.05 u
Fraction of Wesley's original amount that he spent on a hoodie
=
0.051 =
0.05 x 1001 x 100=
5100=
120 Answer(s): (a) $3725; (b)
120