Natalie had 3 times as much money as Warren. After Natalie spent
15 of her money and Warren spent
25 of his money, they had a total of $1788 left.
- How much money did Natalie and Warren have altogether at first?
- Warren spent 310 of his remaining money on a hoodie. What fraction of his original amount of money did he spend on the hoodie?
| |
Natalie |
Warren |
Total |
| Before |
3 u |
1 u |
|
| Change |
- 0.6 u |
- 0.4 u |
|
| After |
2.4 u |
0.6 u |
$1788 |
(a)
Amount that Natalie spent
=
15 x 3 u
= 0.6 u
Amount that Warren spent
=
25 x 1 u
= 0.4 u
Amount that Natalie and Warren spent
= 0.6 u + 0.4 u
= 3 u
3 u = 1788
1 u = 1788 ÷ 3 = 596
Amount that Natalie and Warren had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 596
= $2384
(b)
Amount that Warren spent on the hoodie
=
310 x 0.6 u
= 0.18 u
Fraction of Warren's original amount that he spent on a hoodie
=
0.181 =
0.18 x 1001 x 100=
18100=
950 Answer(s): (a) $2384; (b)
950 
