Aman ordered 3 times as many boxes of ballpoint pens as boxes of felt-tip pens. ballpoint pens cost $4.32 per box, and felt-tip pens cost $3.45. if the man's order of pens totaled $82.05, how many boxes of each type of pen did he buy?

He bought 5 boxes of felt-tip pens and 15 boxes of ball-point pens.

Step-by-step explanation:

A man ordered 3 times as many boxes of ballpoint pens as boxes of felt-tip pens.

b = 3f (1)

Ball point pens cost $4.32 per box, and felt-tip pens cost $3.45 per box, and and he ordered totaled $82.05

4.32b + 3.45f = $82.05 (2)

Now substitute for 'b' and solve for 'f'

4.32(3f) + 3.45f = 82.05

12.96f + 3.45f = 82.05

16.41f = 82.05

f = 5

number of boxes of felt-tip pens = 5

b = 3f

b = 3(5)

b = 15

number of boxes of ballpoint pens = 15

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