Zoe had 3 times as much money as Elijah. After Zoe spent
14 of her money and Elijah spent
35 of his money, they had a total of $2014 left.
- How much money did Zoe and Elijah have altogether at first?
- Elijah spent 35 of his remaining money on a hoodie. What fraction of his original amount of money did he spend on the hoodie?
| |
Zoe |
Elijah |
Total |
| Before |
3 u |
1 u |
|
| Change |
- 0.75 u |
- 0.6 u |
|
| After |
2.25 u |
0.4 u |
$2014 |
(a)
Amount that Zoe spent
=
14 x 3 u
= 0.75 u
Amount that Elijah spent
=
35 x 1 u
= 0.6 u
Amount that Zoe and Elijah spent
= 0.75 u + 0.6 u
= 2.65 u
2.65 u = 2014
1 u = 2014 ÷ 2.65 = 760
Amount that Zoe and Elijah had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 760
= $3040
(b)
Amount that Elijah spent on the hoodie
=
35 x 0.4 u
= 0.24 u
Fraction of Elijah's original amount that he spent on a hoodie
=
0.241 =
0.24 x 1001 x 100=
24100=
625 Answer(s): (a) $3040; (b)
625 
