College Algebra

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?

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1. Let x = boxes of Pilot and y = boxes of Bic

x + y =120 therefore

x = 120 - y

17.99x + 7.49y = 1234.8

Substitute 120-y 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.

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2. 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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