Asked by Anonymous
Jason spent 1/4 of his money and an additional $10 on some books. He then spent 2/5 of the remaining money and an additional $8 on some DVD’s. If he was left with $130, how much money did he have at first?
Answers
Answered by
oobleck
If he started with $x, then
1/4 x on something, leaving 3/4 x
10 on books, leaving 3/4 x - 10
2/5 (3/4 x - 10) on something, leaving 3/5 (3/4 x - 10) = 9/20 x - 6
8 on DVD's, leaving 9/20 x - 14
so now you have
9/20 x - 14 = 130
9/20 x = 144
x = 144 * 20/9 = 320
To be sure, work out the actual amounts spent ...
1/4 x on something, leaving 3/4 x
10 on books, leaving 3/4 x - 10
2/5 (3/4 x - 10) on something, leaving 3/5 (3/4 x - 10) = 9/20 x - 6
8 on DVD's, leaving 9/20 x - 14
so now you have
9/20 x - 14 = 130
9/20 x = 144
x = 144 * 20/9 = 320
To be sure, work out the actual amounts spent ...
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