Question

A store owner mixes 2lb of candy cost x dollars per pound with 3 lb of candy that coasts $1.5 per pound. She sells the mix for 2.50 per pound.

How much did the 2lb of the first type of candy cost the owner?

Answer 1

To find out how much the 2lb of the first type of candy cost the owner, we can use the information given. The total cost of the mix is $12.50 and the cost of 3lb of the second type of candy is $4.50. By subtracting the cost of the second type of candy from the total cost, we can determine the cost of the first type of candy.

Step-by-step explanation:

To find out how much the 2lb of the first type of candy cost the owner, we can use the information given. The store owner mixed 2lb of candy that costs x dollars per pound with 3 lb of candy that costs $1.5 per pound. The mix is sold for $2.50 per pound. Let's use a variable, say 'c', to represent the cost of the first type of candy.

Since 2lb of the first type of candy were mixed with 3lb of the second type, the total weight of the mix is 2lb + 3lb = 5lb.

The cost per pound for the mix is $2.50. Therefore, the total cost for the mix is 5lb x $2.50 = $12.50.

Now, let's create an equation to find the cost of the first type of candy. We know that the total cost of the mix is $12.50 and that 3lb of the mix costs $1.50 per pound. Therefore, the cost of the first type of candy can be calculated as: $12.50 - (3lb x $1.50) = $12.50 - $4.50 = $8.

So, the 2lb of the first type of candy cost the owner $8.