Jane had 3 times as much money as Brandon. After Jane spent
15 of her money and Brandon spent
35 of his money, they had a total of $1526 left.
- How much money did Jane and Brandon have altogether at first?
- Brandon spent 25 of his remaining money on a hoodie. What fraction of his original amount of money did he spend on the hoodie?
| |
Jane |
Brandon |
Total |
| Before |
3 u |
1 u |
|
| Change |
- 0.6 u |
- 0.6 u |
|
| After |
2.4 u |
0.4 u |
$1526 |
(a)
Amount that Jane spent
=
15 x 3 u
= 0.6 u
Amount that Brandon spent
=
35 x 1 u
= 0.6 u
Amount that Jane and Brandon spent
= 0.6 u + 0.6 u
= 2.8 u
2.8 u = 1526
1 u = 1526 ÷ 2.8 = 545
Amount that Jane and Brandon had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 545
= $2180
(b)
Amount that Brandon spent on the hoodie
=
25 x 0.4 u
= 0.16 u
Fraction of Brandon's original amount that he spent on a hoodie
=
0.161 =
0.16 x 1001 x 100=
16100=
425 Answer(s): (a) $2180; (b)
425 
