Opal had 4 times as much money as Jenson. After Opal spent
12 of her money and Jenson spent
25 of his money, they had a total of $1846 left.
- How much money did Opal and Jenson have altogether at first?
- Jenson spent 15 of his remaining money on a hoodie. What fraction of his original amount of money did he spend on the hoodie?
| |
Opal |
Jenson |
Total |
| Before |
4 u |
1 u |
|
| Change |
- 2 u |
- 0.4 u |
|
| After |
2 u |
0.6 u |
$1846 |
(a)
Amount that Opal spent
=
12 x 4 u
= 2 u
Amount that Jenson spent
=
25 x 1 u
= 0.4 u
Amount that Opal and Jenson spent
= 2 u + 0.4 u
= 2.6 u
2.6 u = 1846
1 u = 1846 ÷ 2.6 = 710
Amount that Opal and Jenson had altogether at first
= 4 u + 1 u
= 5 u
= 5 x 710
= $3550
(b)
Amount that Jenson spent on the hoodie
=
15 x 0.6 u
= 0.12 u
Fraction of Jenson's original amount that he spent on a hoodie
=
0.121 =
0.12 x 1001 x 100=
12100=
325 Answer(s): (a) $3550; (b)
325 
