SOLUTION: Sam spent 40 percent of his money and an addition $13 on some shirts. He spent 70 percent of the remaining money and an additional $68 on a radio. If he had $126 left, how much

Algebra.Com
Question 1088521: Sam spent 40 percent of his money and an addition $13 on some shirts. He spent 70 percent of the remaining money and an additional $68 on a radio. If he had $126 left, how much money did Sam have at first?
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Sam spent 40 percent of his money and an addition $13 on some shirts.
He spent 70 percent of the remaining money and an additional $68 on a radio. If he had $126 left, how much money did Sam have at first?
:
let a = the original amt
the equation
a = (.40a+13) + (.70(a - (.40a+13)) + 68) + 126
a = (.40a+13) + (.70(a - .40a - 13)) + 68) + 126
a = (.40a+13) + (.70(.6a - 13)) + 68) + 126
a = (.40a+13) + (.42a - 9.1) + 68 + 126
a = .40a + .42a + 13 - 9.1 + 68 + 126
a = .82a + 197.9
a - .82a = 197.9
.18a = 197.9
a = 197.9/.18
a = $1099.44 he had at first

RELATED QUESTIONS

Aloysius had some money at first. He spent $360 on a suit. He then spent 1/7 of his... (answered by josgarithmetic,ikleyn,greenestamps,MathTherapy)
Nelson had some money. He spent $124.50 on a shirt and 3/8 of the remaining money on some (answered by josgarithmetic)
Hi Jason spent 1/4 of his money and an extra $10 on some books. He the spent 2/5 of the... (answered by greenestamps,josgarithmetic,Solver92311,MathTherapy)
Max spent 1/4 of his money and an additional $ 60 on a present for his best friend.He... (answered by MathTherapy)
Henry spent 1/4 of his money and an additional $3 on a number of DVDs. He then spent 3/5... (answered by ikleyn)
Bill spent 2/5 Of his money on a coat and the remainder of his money on 4 shirts. If each (answered by josmiceli)
David spent $75 of his money on some t-shirts. He spent 1/4 of the remaining money on... (answered by math_tutor2020,mananth,ikleyn,MathTherapy)
Mr Sam spent 1/4 of his money on 7 pens and 9 highlighters. Each pen cost 3 times as... (answered by greenestamps)
Tom spent 1/6 of his money and another $5 on a book. Then, he spent 2/5 of the... (answered by josgarithmetic,MathLover1,MathTherapy)