Opal had 6 times as much money as Charlie. After Opal spent
13 of her money and Charlie spent
45 of his money, they had a total of $1806 left.
- How much money did Opal and Charlie have altogether at first?
- Charlie spent 310 of his remaining money on a jacket. What fraction of his original amount of money did he spend on the jacket?
|
Opal |
Charlie |
Total |
Before |
6 u |
1 u |
|
Change |
- 2 u |
- 0.8 u |
|
After |
4 u |
0.2 u |
$1806 |
(a)
Amount that Opal spent
=
13 x 6 u
= 2 u
Amount that Charlie spent
=
45 x 1 u
= 0.8 u
Amount that Opal and Charlie spent
= 2 u + 0.8 u
= 4.2 u
4.2 u = 1806
1 u = 1806 ÷ 4.2 = 430
Amount that Opal and Charlie had altogether at first
= 6 u + 1 u
= 7 u
= 7 x 430
= $3010
(b)
Amount that Charlie spent on the jacket
=
310 x 0.2 u
= 0.06 u
Fraction of Charlie's original amount that he spent on a jacket
=
0.061 =
0.06 x 1001 x 100=
6100=
350 Answer(s): (a) $3010; (b)
350