Question

Mixing two kinds of candy the price of which was $2 and $4 per pound, Ella got a 10-lb mix of candy, which cost $2.90 per pound. How many pounds of each kind of candy were used for the mix?

Answer 1

5.5 lb of $2 candy,

4.5 lb of $4 candy

Answer 2

1. You have the following information given in the problem above:

- Ella mixed two kinds of candy the price of which was $2 and $4 per pound.
- Ella got a 10-lb mix of candy, which cost $2.90 per pound.

2. Therefore, let's call:

x: pounds of the first kind of candy.
y: pounds of the second kind of candy.

3. Then, you have:

2x+4(10-x)=(2.90)(10)

4. When you clear x, you obtain:

2x+40-4x=29
-2x=29-40
x=-11/-2
x=5.5 pounds

x+y=10
y=10-x
y=10-5.5
y=4.5 pounds