Question

Karen and Holly took their families out to the moive theater. Karen bought three boxes of candy and two small bags of popcorn and paid 18.35. Holly bought four boxes of candy and three small bags of popcorn and paid 26.05.Find the cost for a box of candy.​

Answer 1

`\large \boxed{\$2.95}`

Explanation:

Let c = the cost of a box of candy

and p = the cost of a bag of popcorn

We have two conditions:

`\begin{array}{lrcl}(1) &3c + 2p & = & 18.35\\(2) & 4c+ 3p & = & 26.05\\\end{array}`

Calculations:

(3) 9c + 6p = 55.05

(4) 8c + 6p = 52.10

c = 2.95

`\text{The cost of a box of candy is $\large \boxed{\mathbf{\$2.95 }}$}`