A snack food is made by mixing 2 lb of popcorn that costs $0.80 per pound with caramel that costs $2.30 per pound. How much caramel is needed to make a mixture that costs $1.80 per pound?
+128707 Let's call the number of pounds of caramel needed 'x"..so the final mixture will be (2 + x) lbs. ...so we have.....
(2lbs) popcorn*(.80 lb) + (x lbs.) caramel*(2.30 lb.) = (2 + x)lbs of mixture * (1.80lb)
1.60 + 2.30x = (2 +x)(1.80)
1.60 + 2.30x = 3.60 + 1.80x subtract 1.80x and 1.60 from both sides
.50x = 2.00 divide each side by .50
x = 4 lbs of caramel
+128707 Let's call the number of pounds of caramel needed 'x"..so the final mixture will be (2 + x) lbs. ...so we have.....
(2lbs) popcorn*(.80 lb) + (x lbs.) caramel*(2.30 lb.) = (2 + x)lbs of mixture * (1.80lb)
1.60 + 2.30x = (2 +x)(1.80)
1.60 + 2.30x = 3.60 + 1.80x subtract 1.80x and 1.60 from both sides
.50x = 2.00 divide each side by .50
x = 4 lbs of caramel
