Joelle had 4 times as much money as Japheth. After Joelle spent
12 of her money and Japheth spent
45 of his money, they had a total of $1507 left.
- How much money did Joelle and Japheth have altogether at first?
- Japheth spent 14 of his remaining money on a skirt. What fraction of his original amount of money did he spend on the skirt?
| |
Joelle |
Japheth |
Total |
| Before |
4 u |
1 u |
|
| Change |
- 2 u |
- 0.8 u |
|
| After |
2 u |
0.2 u |
$1507 |
(a)
Amount that Joelle spent
=
12 x 4 u
= 2 u
Amount that Japheth spent
=
45 x 1 u
= 0.8 u
Amount that Joelle and Japheth spent
= 2 u + 0.8 u
= 2.2 u
2.2 u = 1507
1 u = 1507 ÷ 2.2 = 685
Amount that Joelle and Japheth had altogether at first
= 4 u + 1 u
= 5 u
= 5 x 685
= $3425
(b)
Amount that Japheth spent on the skirt
=
14 x 0.2 u
= 0.05 u
Fraction of Japheth's original amount that he spent on a skirt
=
0.051 =
0.05 x 1001 x 100=
5100=
120 Answer(s): (a) $3425; (b)
120 
