GIven:
The cost of first type of candy is, c1 = $1.15 per pound.
The cost of second type of candy is, c2 = $2.20 per pound.
The cost per pound of mixed candy is, c = $1.40 per pound.
The total weight of mixed candy is, W = 29 pounds.
The objective is to find the number of pounds of first candy and number of pounds of second candy mixed together.
Step-by-step explanation:
Consider the number of first type of candy as x and the number of second type of candy as y.
The equation for total pounds of mixed candy can be written as,
Since, the cost per pound of mixed candy is $1.40, the total cost of 29 pounds of candy will be,
Then, the equation of total cost can be written as,
To find x and y:
Substitute the value of x in equation (2),
Substitute the value of y in equation (1).
Hence,
The number of pounds of candy sell for $1.15 is 22.
The number of pounds of candy sell for $2.20 is 7.