Question 1017220
i would say more peanuts than caramel popcorn.


here's why:


let c = number of pounds of caramel popcorn
let p = number of pounds of peanuts


peanuts costs 3.10 per pound.
total cost of peanuts is therefore 3.10 * p


caramel popcorn costs 2.30 per pound.
total cost of caramel popcorn is therefore 2.30 * c


your formula is 3.10 * p + 2.30 * c = 2.80 * (p + c)


simplify by distributing the multiplication on the right side of the equation to get 3.10 * p + 2.30 * c = 2.80 * p + 2.80 * c


subtract 2.80 * p from both sides of the equation and subtract 2.30 * c from both sides of the equation to get 3.10 * p - 2.80 * p = 2.80 * c - 2.30 * c


simplify to get .30 * p = .50 * c


divide both sides of the equation by .30 to get p = (.50 / .30) * c = 5/3 * c.


this means that p > c


let's see if that's true.


assume c = 3 pounds.


this makes p = 5/3 * 3 = 5 pounds.


original formula says:


3.10 * p + 2.30 * c = 2.80 * (p + c)


since p = 5 and c = 3, this formula becomes:


3.10 * 5 + 2.30 * 3 = 2.80 * 8


solve to get:


22.4 = 22.4


solution looks good.


the mixture contains more peanuts than caramel popcorn.