Question

Karen and holly took their families out to the movie 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. Whats the cost for a box of candy

Answer 1

$2.95

Explanation:

Let x be the cost of a box of candy while y be the cost of a small bag of popcorn.

Out of the given data, two equations is formulated.

Equation 1

Equation 2

Multiply 3 to both sides of Eq.1 to derive Eq.1'

Multiply 2 to both sides of Eq.2 to derive Eq.2'

Elimination using Eq.1' and Eq.2' to derive x

A box of candy costs $2.95

Answer 2

Let's assume that the cost of a box of candy is "x" dollars.

According to the problem, Karen bought 3 boxes of candy and 2 small bags of popcorn, and paid $18.35. So we can write the equation:

3x + 2y = 18.35

Similarly, Holly bought 4 boxes of candy and 3 small bags of popcorn, and paid $26.05. So we can write the equation:

4x + 3y = 26.05

We want to find the cost of a box of candy, so we can solve for "x" using these two equations. One way to do this is to use elimination. If we multiply the first equation by 3 and the second equation by -2, we can eliminate the "y" term:

9x + 6y = 55.05

-8x - 6y = -52.10

Adding these two equations gives:

x = 2.95

So the cost of a box of candy is $2.95.