Problema Solution
The Jack and Jill Candy Shop mixes M&M's worth $2.00 per pound with trail mix worth $1.50 per pound. How many pounds of each should she use to get 50 pounds of a party mix worth $1.80 per pound?
Answer provided by our tutors
let
x = pounds of M&M's, x>0
y = pounds of trail mix, y>0
the party mix will have 50 pounds thus
x + y = 50
the cost of x + the cost of y = the cost of 50 pounds
2.00x + 1.50y = 1.80*50
by solving the system of equations
x + y = 50
2.00x + 1.50y = 1.80*50
we find
x = 30 lbs
y = 20 lbs
she should use 30 pounds of M&M's and 20 pounds trail mix to make the party mix.