Tiffany put a $1550 item on layaway by making a 20% down payment and agreeing to pay $120 a month. How many months sooner would she pay off the item if she increased her monthly payment to $180?
A. 18 months sooner
B. 11 months sooner
C. 4 months sooner
D 7 months sooner

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musiclover10045 musiclover10045 · Answer 1 · 2017-07-21T20:05:52+02:00

1550*0.8=1240

1240/120 = approximately 11 months to pay off

1240/180=approximately 7 months to pay off

11-7 =4

so it would be paid off 4 months sooner, so C is the answer

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virtuematane virtuematane · Answer 2 · 2019-05-08T07:30:55+02:00

Option: C is the correct answer.

C. 4 months sooner.

Total amount of the item is: $ 1550

Also, Tiffany paid 20% of the amount by down payment.

Hence, the amount left to pay after the down payment is:80% of total amount.

i.e. 0.80 of total amount.

= 0.80×1550

= $ 1240

Now the number of month it will take if she pay $ 120 a month is:

[tex]=\dfrac{1240}{120}=10.3333[/tex]

which is approximately equal to 11 months.

Similarly, the number of month it will take if she pay $ 180 a month is:

[tex]=\dfrac{1240}{180}=6.8889[/tex]

which is approximately equal to 7 months.

Hence, the number of months sooner she will pay off is:

11-7=4 months.