Joelle had 4 times as much money as Jack. After Joelle spent
14 of her money and Jack spent
45 of his money, they had a total of $1392 left.
- How much money did Joelle and Jack have altogether at first?
- Jack spent 310 of his remaining money on a jacket. What fraction of his original amount of money did he spend on the jacket?
| |
Joelle |
Jack |
Total |
| Before |
4 u |
1 u |
|
| Change |
- 1 u |
- 0.8 u |
|
| After |
3 u |
0.2 u |
$1392 |
(a)
Amount that Joelle spent
=
14 x 4 u
= 1 u
Amount that Jack spent
=
45 x 1 u
= 0.8 u
Amount that Joelle and Jack spent
= 1 u + 0.8 u
= 3.2 u
3.2 u = 1392
1 u = 1392 ÷ 3.2 = 435
Amount that Joelle and Jack had altogether at first
= 4 u + 1 u
= 5 u
= 5 x 435
= $2175
(b)
Amount that Jack spent on the jacket
=
310 x 0.2 u
= 0.06 u
Fraction of Jack's original amount that he spent on a jacket
=
0.061 =
0.06 x 1001 x 100=
6100=
350 Answer(s): (a) $2175; (b)
350 
