Question

A man ordered 4 times as many boxes of ballpoint pens as boxes of felt-tip pens. Ballpoint pens cost $4.37 per box, and felt-tip pens cost $3.43. If the man's order of pens totaled$62.73,how many boxes of each type of pen did he buy?WWHow many boxes of folt-tip pens did he buy?3How many boxes of ballpoint pens did he buy?

Answer 1

Let

x ----> number of boxes of ballpoint pens

y ----> number of boxes of felt-tip pens

we have that

4.37x+3.43y=62.73 -------> equation A

x=4y ----> equation B

solve the system of equations

substitute equation B in equation A

4.37(4y)+3.43y=62.73

solve for y

17.48y+3.43y=62.73

20.91y=62.73

y=3

Find out the value of x

x=4(3)

x=12

therefore

He buys 12 boxes of ballpoint pens and 3 boxes of felt-tip pens