Raeann had 3 times as much money as Peter. After Raeann spent
15 of her money and Peter spent
25 of his money, they had a total of $1248 left.
- How much money did Raeann and Peter have altogether at first?
- Peter spent 712 of his remaining money on a hoodie. What fraction of his original amount of money did he spend on the hoodie?
| |
Raeann |
Peter |
Total |
| Before |
3 u |
1 u |
|
| Change |
- 0.6 u |
- 0.4 u |
|
| After |
2.4 u |
0.6 u |
$1248 |
(a)
Amount that Raeann spent
=
15 x 3 u
= 0.6 u
Amount that Peter spent
=
25 x 1 u
= 0.4 u
Amount that Raeann and Peter spent
= 0.6 u + 0.4 u
= 3 u
3 u = 1248
1 u = 1248 ÷ 3 = 416
Amount that Raeann and Peter had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 416
= $1664
(b)
Amount that Peter spent on the hoodie
=
712 x 0.6 u
= 0.35 u
Fraction of Peter's original amount that he spent on a hoodie
=
0.351 =
0.35 x 1001 x 100=
35100=
720 Answer(s): (a) $1664; (b)
720 
