Opal had 5 times as much money as Brandon. After Opal spent
15 of her money and Brandon spent
25 of his money, they had a total of $2024 left.
- How much money did Opal and Brandon have altogether at first?
- Brandon spent 45 of his remaining money on a hoodie. What fraction of his original amount of money did he spend on the hoodie?
| |
Opal |
Brandon |
Total |
| Before |
5 u |
1 u |
|
| Change |
- 1 u |
- 0.4 u |
|
| After |
4 u |
0.6 u |
$2024 |
(a)
Amount that Opal spent
=
15 x 5 u
= 1 u
Amount that Brandon spent
=
25 x 1 u
= 0.4 u
Amount that Opal and Brandon spent
= 1 u + 0.4 u
= 4.6 u
4.6 u = 2024
1 u = 2024 ÷ 4.6 = 440
Amount that Opal and Brandon had altogether at first
= 5 u + 1 u
= 6 u
= 6 x 440
= $2640
(b)
Amount that Brandon spent on the hoodie
=
45 x 0.6 u
= 0.48 u
Fraction of Brandon's original amount that he spent on a hoodie
=
0.481 =
0.48 x 1001 x 100=
48100=
1225 Answer(s): (a) $2640; (b)
1225 
