Jane had 6 times as much money as Pierre. After Jane spent
14 of her money and Pierre spent
35 of his money, they had a total of $1470 left.
- How much money did Jane and Pierre have altogether at first?
- Pierre spent 38 of his remaining money on a sweater. What fraction of his original amount of money did he spend on the sweater?
| |
Jane |
Pierre |
Total |
| Before |
6 u |
1 u |
|
| Change |
- 1.5 u |
- 0.6 u |
|
| After |
4.5 u |
0.4 u |
$1470 |
(a)
Amount that Jane spent
=
14 x 6 u
= 1.5 u
Amount that Pierre spent
=
35 x 1 u
= 0.6 u
Amount that Jane and Pierre spent
= 1.5 u + 0.6 u
= 4.9 u
4.9 u = 1470
1 u = 1470 ÷ 4.9 = 300
Amount that Jane and Pierre had altogether at first
= 6 u + 1 u
= 7 u
= 7 x 300
= $2100
(b)
Amount that Pierre spent on the sweater
=
38 x 0.4 u
= 0.15 u
Fraction of Pierre's original amount that he spent on a sweater
=
0.151 =
0.15 x 1001 x 100=
15100=
320 Answer(s): (a) $2100; (b)
320 
