SOLUTION: Trey bought a desktop computer and a laptop computer. Before finance charges, the laptop cost
$200
less than the desktop. He paid for the computers using two different financing
Algebra.Com
Question 1031124: Trey bought a desktop computer and a laptop computer. Before finance charges, the laptop cost
$200
less than the desktop. He paid for the computers using two different financing plans. For the desktop the interest rate was
9%
per year, and for the laptop it was
7%
per year. The total finance charges for one year were
$306
. How much did each computer cost before finance charges?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
x = price of a desktop computer
y = price of a laptop computer
the price of the laptop computer is 200 less than the price of a desktop computer.
this means that y = x - 200.
i1 = interest on desktop computer.
i2 = interest on laptop computer.
i1 = .09 * x
i2 = .07 * y
the total finance charges for one year are 306.
this means that i1 + i2 = 306 which means that .09x + .07y = 306.
since y = x - 100, this formula becomes .09x + .07(x-200) = 306.
simplify to get .09x + .07x - 14 = 306
combine like terms to get .16x - 14 = 306.
add 14 to both sides of the equation to get .16x = 320.
divide both sides of this equation by .16 to get x = 2000.
since y = x - 100, this means that y is equal to 1800.
the desktop computer cost 2000.
the laptop computer cost 1800.
.09 * 2000 = 180.
.07 * 1800 = 126.
180 + 126 = 306.
solution is confirmed to be correct.
the desktop computer cost 2000 before the finance charge was applied.
the laptop computer cost 1800 before the finance charge was applied.
RELATED QUESTIONS
Can someone help me solve this? Thank you.
Greg bought a desktop computer and a laptop (answered by stanbon)
Kira bought a desktop computer and a laptop computer. before finance charges, the laptop... (answered by Theo,ikleyn)
Juan bought a desktop computer and a laptop computer. Before finance charges, the laptop... (answered by Theo)
Kevin bought a desktop computer and a laptop computer. Before finance charges, the laptop (answered by Theo)
Ivan bought a desktop computer and a laptop computer. Before finance charges, the laptop... (answered by ankor@dixie-net.com)
Salma bought a desktop computer and a laptop computer. Before finance charges, the laptop (answered by ikleyn)
Hong bought a desktop computer and a laptop computer, before finance charges the laptop... (answered by jorel1380)
Martina bought a desktop computer and a laptop computer. Before finance charges, the... (answered by jorel1380)
Need full answer asap please, thank you so much!
Linda bought a desktop computer and a (answered by Theo)