Irene had 4 times as much money as Glen. After Irene spent
15 of her money and Glen spent
25 of his money, they had a total of $1501 left.
- How much money did Irene and Glen have altogether at first?
- Glen spent 910 of his remaining money on a cardigan. What fraction of his original amount of money did he spend on the cardigan?
|
Irene |
Glen |
Total |
Before |
4 u |
1 u |
|
Change |
- 0.8 u |
- 0.4 u |
|
After |
3.2 u |
0.6 u |
$1501 |
(a)
Amount that Irene spent
=
15 x 4 u
= 0.8 u
Amount that Glen spent
=
25 x 1 u
= 0.4 u
Amount that Irene and Glen spent
= 0.8 u + 0.4 u
= 3.8 u
3.8 u = 1501
1 u = 1501 ÷ 3.8 = 395
Amount that Irene and Glen had altogether at first
= 4 u + 1 u
= 5 u
= 5 x 395
= $1975
(b)
Amount that Glen spent on the cardigan
=
910 x 0.6 u
= 0.54 u
Fraction of Glen's original amount that he spent on a cardigan
=
0.541 =
0.54 x 1001 x 100=
54100=
2750 Answer(s): (a) $1975; (b)
2750