Lucy had 3 times as much money as Sam. After Lucy spent
15 of her money and Sam spent
25 of his money, they had a total of $1506 left.
- How much money did Lucy and Sam have altogether at first?
- Sam spent 35 of his remaining money on a cardigan. What fraction of his original amount of money did he spend on the cardigan?
| |
Lucy |
Sam |
Total |
| Before |
3 u |
1 u |
|
| Change |
- 0.6 u |
- 0.4 u |
|
| After |
2.4 u |
0.6 u |
$1506 |
(a)
Amount that Lucy spent
=
15 x 3 u
= 0.6 u
Amount that Sam spent
=
25 x 1 u
= 0.4 u
Amount that Lucy and Sam spent
= 0.6 u + 0.4 u
= 3 u
3 u = 1506
1 u = 1506 ÷ 3 = 502
Amount that Lucy and Sam had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 502
= $2008
(b)
Amount that Sam spent on the cardigan
=
35 x 0.6 u
= 0.36 u
Fraction of Sam's original amount that he spent on a cardigan
=
0.361 =
0.36 x 1001 x 100=
36100=
925 Answer(s): (a) $2008; (b)
925 
