Joe spent 1/5 of his money on books. He spent 3/8 of the remainder on a recorder. He has $250 left. What fraction of his money does he have left?
2007-09-03 06:41:54 · 5 answers · asked by lucious l 1 in Science & Mathematics ➔ Mathematics
1/5X + (3/8) of (4/5)X-250=0
anytime you see "of" multiply
Therefore:
1/5X+(3/8*4/5)x-250=0
3/8*4/5=12/40
(8X+12X)/40-250=0
(8X+12X)/40=250
8X+12x=10000
20X=10000
X=500
$500.00 is what Joe had to begin with.
He has $250.00 left
What fraction?
250/500 is the fraction left
reduces to 1/2
He spent 1/5 on books or 1/5 of 500= 100
He spent 3/8 of 4/5 or 12/40 or 3/10 0n recorder=150
Has 250 left
250+150+100=500
2007-09-03 07:49:25 · answer #1 · answered by 3rrotec 1 · 0⤊ 0⤋
$250 is the remaining 5/8, so 1/8 is $50. $50 * 8 = the initial remainder of $400. $400 is the remaining 4/5, so 1/5 is $100, meaning he had $500 originially. 250 / 500 means he has 1/2 of his money left.
2007-09-03 06:53:42 · answer #2 · answered by Regina 1 · 0⤊ 0⤋
5/8 is the remainder which is 250......
so 7/8 of x=250
x=250*8/5
x=400
now this is 4/5 of actual
so 4/5 of x=400
x=500
now what raction of 500 is 250
ans is 1/2
2007-09-03 06:54:50 · answer #3 · answered by GP 2 · 0⤊ 0⤋
1/5 = 8/40 and 3/8 = 15/40
So Joe spent 23/40 0f his money
So he has 1-23/40 = 17/40 of his money left.
2007-09-03 06:51:04 · answer #4 · answered by ironduke8159 7 · 0⤊ 0⤋
3/8+1/5=(15+8)/40=23/40
40/40 -23/40 =17/40
2007-09-03 07:28:21 · answer #5 · answered by Anonymous · 0⤊ 0⤋