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Landon and his children went into a movie theater and will buy candies and pretzels. Each candy costs 
$5 and each pretzel costs 
$4.25. Landon has a total of 
$45 to spend on candies and pretzels. Write an inequality that would represent the possible values for the number of candies purchased, 
c, and the number of pretzels purchased, 
p.
Answer:

Landon and his children went into a movie theater and will buy candies and pretzels. Each candy costs $5 \$ 5 and each pretzel costs $4.25 \$ 4.25 . Landon has a total of $45 \$ 45 to spend on candies and pretzels. Write an inequality that would represent the possible values for the number of candies purchased, c c , and the number of pretzels purchased, p p .\newlineAnswer:

Full solution

Q. Landon and his children went into a movie theater and will buy candies and pretzels. Each candy costs $5 \$ 5 and each pretzel costs $4.25 \$ 4.25 . Landon has a total of $45 \$ 45 to spend on candies and pretzels. Write an inequality that would represent the possible values for the number of candies purchased, c c , and the number of pretzels purchased, p p .\newlineAnswer:
  1. Define Costs and Budget: Define the cost of each item and the total budget.\newlineCandies cost $5\$5 each, and pretzels cost $4.25\$4.25 each. Landon has $45\$45 to spend.
  2. Write Total Cost Equation: Write an equation to represent the total cost of candies and pretzels.\newlineThe total cost is the sum of the cost of candies and the cost of pretzels.\newlineTotal cost = (Cost of one candy×Number of candies)+(Cost of one pretzel×Number of pretzels)(\text{Cost of one candy} \times \text{Number of candies}) + (\text{Cost of one pretzel} \times \text{Number of pretzels})\newlineTotal cost = 5c+4.25p5c + 4.25p
  3. Write Total Cost Inequality: Write an inequality to represent that the total cost must be less than or equal to the budget.\newlineLandon can spend at most $45\$45, so the total cost must be less than or equal to $45\$45.\newline5c+4.25p455c + 4.25p \leq 45

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