BTGmoderatorDC wrote:A company hired a printer to produce a total of x + 1 envelopes. The job consisted of two types of envelopes, 2¢ envelopes and 5¢ envelopes. If , which of the following expressions denotes the cost, in cents, of the total x + 1 envelopes ?
A) 3x + 1
B) (7x - 2)/2
C) 11x + 31
D) (7x - 6)/2
E) (13x + 3)/2
The company requested 3 more 2¢ envelopes than 5¢ envelopes.
Let the number of 5¢ envelopes = 2, and the number of number of 2¢ envelopes = 2+3 = 5, with the result that the cost of the envelopes = (5*2) + .(2*5) = 20 cents.
A company hired a printer to produce a total of x + 1 envelopes.
Since two 5¢ envelopes = 2 and five 2¢ envelopes are produced -- for a total of 7 envelopes -- we get:
x+1 = 7
x = 6.
Which of the following denotes the cost?
Now plug x=6 into the answers to see which yields a total cost of 20 cents.
Only
B works:
(7x-2)/2 = (7*6 - 2)/2 = 20.
The correct answer is
B.
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