SOLUTION: laura borrowed $240 ,interest free, from her parents to pay for her college eduction.if she pays back 2 1/2 percent of this amount quarterly,and has already pais $42 ,for how many

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Question 711623: laura borrowed $240 ,interest free, from her parents to pay for her college eduction.if she pays back 2 1/2 percent of this amount quarterly,and has already pais $42 ,for how many mounths has she been paying back her loan?
a) 6
b) 7
c) 19
d) 21
e) 24

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

given:
she pays back 2%281%2F2%29=2.5 percent which is 2.5%2F100=0.025 of the amount of $240 quarterly (every three months) and has already paid $42, then we have
240%2A0.025%2At=42...t is number of quarters
6%2At=42
t=42%2F6
t=7.....she has been paying back her loan for 7 quarters which is 7%2A3=21 months
so, answer is d) 21


or, you can do it this way:

if 2.5%2F100=0.025 quarterly, she pays 0.025%2F3=0.00833 interest monthly
then 240%2A0.00833%2At%5Bm%5D=42.....t%5Bm%5D is number of months
2%2At%5Bm%5D=42
t%5Bm%5D=42%2F2
t%5Bm%5D=21