Jean had 3 times as much money as Luke. After Jean spent
12 of her money and Luke spent
14 of his money, they had a total of $1197 left.
- How much money did Jean and Luke have altogether at first?
- Luke spent 35 of his remaining money on a cardigan. What fraction of his original amount of money did he spend on the cardigan?
| |
Jean |
Luke |
Total |
| Before |
3 u |
1 u |
|
| Change |
- 1.5 u |
- 0.25 u |
|
| After |
1.5 u |
0.75 u |
$1197 |
(a)
Amount that Jean spent
=
12 x 3 u
= 1.5 u
Amount that Luke spent
=
14 x 1 u
= 0.25 u
Amount that Jean and Luke spent
= 1.5 u + 0.25 u
= 2.25 u
2.25 u = 1197
1 u = 1197 ÷ 2.25 = 532
Amount that Jean and Luke had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 532
= $2128
(b)
Amount that Luke spent on the cardigan
=
35 x 0.75 u
= 0.45 u
Fraction of Luke's original amount that he spent on a cardigan
=
0.451 =
0.45 x 1001 x 100=
45100=
920 Answer(s): (a) $2128; (b)
920 
