Question

A man ordered 4 times as many boxes of ballpoint pens as boxes of​ felt-tip pens....

A man ordered 4 times as many boxes of ballpoint pens as boxes of​ felt-tip pens. Ballpoint pens cost ​$4.44 per​ box, and​ felt-tip pens cost ​$3.42. If the​ man's order of pens totaled ​$63.54 how many boxes of each type of pen did he​ buy?

Math   Statistics-And-Probability   
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Answer #1

X: Number of boxes of ball points ordered

Y : Number of boxes of felt-tip pens

A man ordered 4 times as many boxes of ballpoint pens as boxes of​ felt-tip pens i.e

X = 4Y

Cost of one box of Ball point pens = $4.44

Cost of X boxes of Ball point pens = 4.44X

Cost one Box of felt-pens = $3.42

Cost of Y boxes of felt-pens = 3.42Y

Man's order pf pens = 4.44X + 3.42Y = 63.54

Plugin X =4Y

4.44 x 4Y +3.42 Y = 63.54

17.76Y +3.42Y =63.54

21.18Y = 63.54

Y = 63.54/21.18 =3

Y=3 ;

X=4Y = 4x3 =12

Number of boxes of ball points ordered = 12

Number of boxes of felt-tip pens =3

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