He sold his large shrimp for $4 per pound and the mediums for $3 per pound. He sold a total of 100 lbs of shrimp and made a total $340. How many pounds of each size (large and medium) did he sell?

Question

System of equation problems should identify the variables, show the 2 equations, solve the problems using substitution or elimination, write the answer in sentence form.

Answer 1

Let L=number of large shrimps and M=number of medium shrimps=100-L.

Sales=4L+3M=340. Substitute for M:

4L+3(100-L)=340,

4L+300-3L=340,

L=340-300=40 (40 large shrimps); 100-40=60 medium shrimps.

Expressed as a system of equations:

L+M=100,

4L+3M=340.