Tina had 4 times as much money as Tom. After Tina spent
15 of her money and Tom spent
25 of his money, they had a total of $1311 left.
- How much money did Tina and Tom have altogether at first?
- Tom spent 14 of his remaining money on a blouse. What fraction of his original amount of money did he spend on the blouse?
|
Tina |
Tom |
Total |
Before |
4 u |
1 u |
|
Change |
- 0.8 u |
- 0.4 u |
|
After |
3.2 u |
0.6 u |
$1311 |
(a)
Amount that Tina spent
=
15 x 4 u
= 0.8 u
Amount that Tom spent
=
25 x 1 u
= 0.4 u
Amount that Tina and Tom spent
= 0.8 u + 0.4 u
= 3.8 u
3.8 u = 1311
1 u = 1311 ÷ 3.8 = 345
Amount that Tina and Tom had altogether at first
= 4 u + 1 u
= 5 u
= 5 x 345
= $1725
(b)
Amount that Tom spent on the blouse
=
14 x 0.6 u
= 0.15 u
Fraction of Tom's original amount that he spent on a blouse
=
0.151 =
0.15 x 1001 x 100=
15100=
320 Answer(s): (a) $1725; (b)
320