Question

The basketball concession stand sells cotton

candy for $2.50 and popcorn for $3.25. Write an
equation to represent the total sales from both items.
If 128 bags of cotton candy are sold, how many
bags of popcorn must be sold to make $853?

Answer 1

To represent the total sales from both items, we use the equation 2.50 * 128 + 3.25 * x = 853. By solving this equation, we find that approximately 164 bags of popcorn must be sold to make $853.

Step-by-step explanation:

In order to write an equation that represents the total sales from both items, we can use the information given. Let x represent the number of bags of popcorn sold. The total sales from cotton candy can be calculated by multiplying the price of cotton candy, $2.50, by the number of bags sold, which is given as 128. The total sales from popcorn can be calculated by multiplying the price of popcorn, $3.25, by the number of bags sold, which is x. So the equation representing the total sales is:

2.50 * 128 + 3.25 * x = 853

To find the number of bags of popcorn that must be sold to make $853, we can solve this equation for x. Let's do that:

2.50 * 128 + 3.25 * x = 853
320 + 3.25 * x = 853
3.25 * x = 853 - 320
3.25 * x = 533
x = 533 / 3.25
x ≈ 164.31

Therefore, approximately 164 bags of popcorn must be sold to make $853.