Last month, Nate spent 12% of his paycheck on car repairs and 25% of the remainder on food. He gave $1,320 of the remaining money to his parents and then bought a computer on sale. If the usual price of the computer was $825 and the discount was 20%, how much money did Nate have in the beginning?
2 answers
$3142.86, rounded to nearest hundredth
cost of computer = .8(825) = 660
original amount of money --- x
12x/100 + .25(88/100)x +1320 + 660 = x
34x/100 - x = -1980
66x-100x = -198000
x = 3000
check:
car repairs = .12(3000) = $360.00
leaves --- 2640.00
food = .25(2640) = 660
amount to parents = 1320.00
computer = 660
sum = 360.00+660.00+1320.00+660.00 = 3000
He had $3000 at the beginning
original amount of money --- x
12x/100 + .25(88/100)x +1320 + 660 = x
34x/100 - x = -1980
66x-100x = -198000
x = 3000
check:
car repairs = .12(3000) = $360.00
leaves --- 2640.00
food = .25(2640) = 660
amount to parents = 1320.00
computer = 660
sum = 360.00+660.00+1320.00+660.00 = 3000
He had $3000 at the beginning