BTGmoderatorDC wrote:The average American spends y dollars on food per month, except during January, when food purchases are x percent lower than they are in other months. Which of the following represents food purchases, in dollars, for the first 9 months of a year?
A)9y - xy/100
B)9y + xy
C)9y - xy
D)(9y-xy)/9
E)y-xy/6
Monthly food expense except in January:
Let y=$2.
Discount in January:
Let x=100%.
Since $2 is spent each month for 8 of the first 9 months, the total spent during these 8 months = 8*2 = 16.
Since food purchases are 100% lower in January -- implying that they are FREE in January -- the amount spent in January = 0.
Total spent = 16+0 = 16.
The correct answer must yield a value of 16 when y=2 and x=100.
Only A works:
9y - (xy/100) = 9*2 - (100*2)/100 = 18-2 = 16.
The correct answer is
A.
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