Lucy had 6 times as much money as Albert. After Lucy spent
15 of her money and Albert spent
45 of his money, they had a total of $2155 left.
- How much money did Lucy and Albert have altogether at first?
- Albert spent 35 of his remaining money on a cardigan. What fraction of his original amount of money did he spend on the cardigan?
| |
Lucy |
Albert |
Total |
| Before |
6 u |
1 u |
|
| Change |
- 1.2 u |
- 0.8 u |
|
| After |
4.8 u |
0.2 u |
$2155 |
(a)
Amount that Lucy spent
=
15 x 6 u
= 1.2 u
Amount that Albert spent
=
45 x 1 u
= 0.8 u
Amount that Lucy and Albert spent
= 1.2 u + 0.8 u
= 5 u
5 u = 2155
1 u = 2155 ÷ 5 = 431
Amount that Lucy and Albert had altogether at first
= 6 u + 1 u
= 7 u
= 7 x 431
= $3017
(b)
Amount that Albert spent on the cardigan
=
35 x 0.2 u
= 0.12 u
Fraction of Albert's original amount that he spent on a cardigan
=
0.121 =
0.12 x 1001 x 100=
12100=
325 Answer(s): (a) $3017; (b)
325 
