Emily had 5 times as much money as Brandon. After Emily spent
14 of her money and Brandon spent
25 of his money, they had a total of $2175 left.
- How much money did Emily and Brandon have altogether at first?
- Brandon spent 14 of his remaining money on a sweater. What fraction of his original amount of money did he spend on the sweater?
| |
Emily |
Brandon |
Total |
| Before |
5 u |
1 u |
|
| Change |
- 1.25 u |
- 0.4 u |
|
| After |
3.75 u |
0.6 u |
$2175 |
(a)
Amount that Emily spent
=
14 x 5 u
= 1.25 u
Amount that Brandon spent
=
25 x 1 u
= 0.4 u
Amount that Emily and Brandon spent
= 1.25 u + 0.4 u
= 4.35 u
4.35 u = 2175
1 u = 2175 ÷ 4.35 = 500
Amount that Emily and Brandon had altogether at first
= 5 u + 1 u
= 6 u
= 6 x 500
= $3000
(b)
Amount that Brandon spent on the sweater
=
14 x 0.6 u
= 0.15 u
Fraction of Brandon's original amount that he spent on a sweater
=
0.151 =
0.15 x 1001 x 100=
15100=
320 Answer(s): (a) $3000; (b)
320 
