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32. little piggy barbecue sold twice as many regular sandwiches that co…

Question

  1. little piggy barbecue sold twice as many regular sandwiches that cost $4 each as jumbo sandwiches that cost $5 each. how many of each size were sold if their sales totaled $585?

Explanation:

Step1: Define variables

Let $x$ = number of jumbo sandwiches. Then $2x$ = number of regular sandwiches.

Step2: Set up sales equation

Total sales = (Jumbo sales) + (Regular sales)
$$5x + 4(2x) = 585$$

Step3: Simplify the equation

$$5x + 8x = 585$$
$$13x = 585$$

Step4: Solve for $x$

$$x = \frac{585}{13} = 45$$

Step5: Find regular sandwich count

Regular count = $2x = 2(45) = 90$

Answer:

90 regular sandwiches and 45 jumbo sandwiches were sold.