Question

A dock worker pays $30 for 10 lb of sea food. it is made of two kinds of shrimp: large shrimp sells for $5 per pound, and popcorn shrimp sells for $1 per pound. How many pounds of each kind were in the mixture?
Please help i dint get the systems of equations problem

Answer 1

S = large shrimp and p = popcorn shrimp

s + p = 10.....multiply by -1
5s + p = 30
---------------
-s -p = -10 (result of multiplying by -1)
5s + p = 30
---------------add
4s = 20
s = 20/4
s = 5

s + p = 10
5 + p = 10
p = 10 - 5
p = 5

so there was 5 lbs of large shrimp (s) and 5 lbs of popcorn shrimp (p) in the mixture