MATHEMATICS QUESTION

Question

A man orders 3 times as many boxes 9f Ballpoint pens as boxes of felt-tip pens. Ballpoint pens cost $ 4.43 per box and felt-tip pens cost $ 3.45. If the man's order of pens totaled $ 83.70. How many boxes of each type of pen did he Buy ?

Answer 1

HI. I think this question was posted twice.. Here's the answer from the other posting

A man orders 3 times as many boxes of Ballpoint pens as boxes of felt-tip pens. Ballpoint pens cost $ 4.43 per box and felt-tip pens cost $3.45. If the man's order of pens totaled $ 83.70 . How many boxes of each type of pen did he buy. ?

With word problems, it helps to write down the information given.

There are 3 times as many boxes of ballpoint pens as boxes of felt-tip pens

Ballpoints pens cost $4.43 per box

Felt-tip pens cost $3.45 per box

Total order was $83.70

We are asked to find the number of boxes of each type of pen.

Lets start by assigning variables

Let B= number of boxes of ballpoint pens

Let F= number of boxes of felt-tip pens.

Then number of ballpoint pens is 3x the number of Felt pens

B = 3F

The total cost would be The number of ballpoint pens times the cost per box, plus the number of felt-tip pens times the cost per box

B(4.43) + F(3.45)= 83.70

3F(4.43) + F(3.45) = 83.70 (Substituted 3F for B)

13.29F + 3.45F = 83.70

16.74F=83.70

F=5

B=3(F)

B=3(5)

B=15

There were 5 Felt-Tip Boxes and 15 Ballpoint boxes.

Now we can check to make sure we calculated this correctly.

B(4.43) + F(3.45)= 83.70

15(4.43) + 5(3.45) ?= 83.70

83.70 ?= 83.70 It checks out so we solved it correctly.

Math word problems are really about learning how to translate the words into equations. I love word problems. Let me know if you need more help.

:)