Problema Solution
Sue has creme-filled chocolates that sell for 4$3.00 per pound, chocolate-covered nuts that sell for $2.70 per pound, and chocolate-covered raisens that sell for $2.25 per pound. She wants to have twice as many raisens as nuts in the mixture. Find how many pounds of each she should use to make 45 pounds worth $2.80 per pound.
Answer provided by our tutors
Selling price of creme filled chocolates = $3
Selling price of chocolate-covered nuts = $2.70
Selling price of chocolate-covered raisens = $2.25
Let amount of nuts = x
amount of raisens = 2x
amount of creme filled chocoloates = y
x+y+2x = 45 => 3x + y = 45
3y+2.70x+2.25*2x = 45*2.80
multiplying first by there and then subtracting second from it gives
9x - 7.2x = 9 => 1.8x = 9=> x = 5
=> Amount of Raisens = 10
Amount of nuts = 5
Amount of creme-filled chocolates = 30