Question

g A man ordered 3 times as many boxes of ballpoint pens as boxes of​ felt-tip pens. Ballpoint pens cost ​$4.41 per​ box, and​ felt-tip pens cost ​$3.45. If the​ man's order of pens totaled ​$83.40​, how many boxes of each type of pen did he​ buy?

Answer 1

f = 5

b =15

Step-by-step explanation:

according to the information given we have Quantity Equation::

b = 3f ......................1

where b represent boxes and f represent p=felts tip pens

according to the information given

cost of ball point pens per box is $4.41

and felt tip pens cost is 3.45.

total cost of pens is $83.40

therefore we have Value Equation

4.41b + 3.45f = 83.40 ....................2

Substitute for "b" value in 2 equation

4.41(3f) + 3.45f = 83.40

16.68 f = 83.40

f = 5

hence b = 3* 5 = 15