System Equations

Question

a snack company wants to make a party mixture that it can sell for $1.20 per lb. it wants to use 150 lb of pretzels worth $1.00 per lb along with some cheese crackers worth $1.50 per lb, and some peanuts worth $1.90 per lb. the company must use the same number of pounds of cheese crackers and peanuts. how many pounds of snack mix will be produced at $1.20 per pound?

Answer 1

x is the weight of the pretzels and y is the weight of the cheese crackers

x+y = 150

1 x + 1.50 y = 150*1.2 = 180

the system is:

x +y = 150

x + 1.5y = 180

0.5y = 30

y = 60

then x = 90