7.5$ per lb for choclate fudge 7$ per lb for peanunt butter fudge total 146LBS and 1065$

Question

Mrs. Betty Crocker sells chocolate fudge for $7.50 per pound and peanut butter fudge for $7.00 per pound. The total number of pounds sold on Saturday was 146 and the total amount of money collected was $1065. How many pounds of each type of fudge were sold?

Answer 1

Let c = pounds of chocolate fudge

Let p = pounds of peanut butter fudge

 

c + p = 146   {equation 1}

7.5c + 7p = 1065   {equation 2}

 

We can solve the system by substitution or elimination.

Let's eliminate p:  Multiply equation 1 by -7 and add

the equations

 

  -7c - 7p = -1022

7.5c + 7p = 1065

------------------------

0.5c = 43

c = 86 pounds of chocolate fudge

 

p = 146-c = 60 pounds peanut butter fudge