Opal had 5 times as much money as Ryan. After Opal spent
15 of her money and Ryan spent
45 of his money, they had a total of $1890 left.
- How much money did Opal and Ryan have altogether at first?
- Ryan spent 15 of his remaining money on a jacket. What fraction of his original amount of money did he spend on the jacket?
| |
Opal |
Ryan |
Total |
| Before |
5 u |
1 u |
|
| Change |
- 1 u |
- 0.8 u |
|
| After |
4 u |
0.2 u |
$1890 |
(a)
Amount that Opal spent
=
15 x 5 u
= 1 u
Amount that Ryan spent
=
45 x 1 u
= 0.8 u
Amount that Opal and Ryan spent
= 1 u + 0.8 u
= 4.2 u
4.2 u = 1890
1 u = 1890 ÷ 4.2 = 450
Amount that Opal and Ryan had altogether at first
= 5 u + 1 u
= 6 u
= 6 x 450
= $2700
(b)
Amount that Ryan spent on the jacket
=
15 x 0.2 u
= 0.04 u
Fraction of Ryan's original amount that he spent on a jacket
=
0.041 =
0.04 x 1001 x 100=
4100=
125 Answer(s): (a) $2700; (b)
125 
