College Algebra
posted by Ginny on .
Staples recently charged $17.99 per box of Pilot Precise rollerball pens and $7.49 per box for Bic Matic Grip mechanical pencils. If Kelling Community College purchased 120 such boxes for a total of $1234.80, how many boxes of each type did they purchase?

Let x = boxes of Pilot and y = boxes of Bic
x + y =120 therefore
x = 120  y
17.99x + 7.49y = 1234.8
Substitute 120y for x in second equation and solve for y. Insert that value into the first equation and solve for x. Check by inserting both values into the second equation. 
32 boxes of pilot and 88 boxes of Bic
32x17.99 = 575.68
88x 7.49 = 659.12
total = 1234.80 
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