Gillian had 4 times as much money as Justin. After Gillian spent
15 of her money and Justin spent
25 of his money, they had a total of $1862 left.
- How much money did Gillian and Justin have altogether at first?
- Justin spent 25 of his remaining money on a sweater. What fraction of his original amount of money did he spend on the sweater?
| |
Gillian |
Justin |
Total |
| Before |
4 u |
1 u |
|
| Change |
- 0.8 u |
- 0.4 u |
|
| After |
3.2 u |
0.6 u |
$1862 |
(a)
Amount that Gillian spent
=
15 x 4 u
= 0.8 u
Amount that Justin spent
=
25 x 1 u
= 0.4 u
Amount that Gillian and Justin spent
= 0.8 u + 0.4 u
= 3.8 u
3.8 u = 1862
1 u = 1862 ÷ 3.8 = 490
Amount that Gillian and Justin had altogether at first
= 4 u + 1 u
= 5 u
= 5 x 490
= $2450
(b)
Amount that Justin spent on the sweater
=
25 x 0.6 u
= 0.24 u
Fraction of Justin's original amount that he spent on a sweater
=
0.241 =
0.24 x 1001 x 100=
24100=
625 Answer(s): (a) $2450; (b)
625 
