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An Ice cream parlor sells 5 ice cream sundaes for every 2 popsicles that they sell. If they sell 35 ice cream sundaes, how many popsicles can they expect to sell?

Respuesta :

Answer:

14 popsicles

Step-by-step explanation:

The problem situation is related to the topic of "Proportion" in Mathematics. This shows two ratios being equal in a statement.

Proportion Formula: a:b = c:d (you can also rewrite this as [tex]\frac{a}{b}[/tex] = [tex]\frac{c}{d}[/tex])

1. Write the Proportion

  • 5 ice cream sundaes : 2 popsicles = 35 ice cream sundaes : x
  • let x be the number of popsicles
  • this can also be written as: [tex]\frac{5}{2}[/tex] = [tex]\frac{35}{x}[/tex]

2. Multiply in order to find the cross products.

  • 5 ice cream sundaes × x = 35 ice cream sundaes × 2 popsicles

3. Divide in order to find x.

  • [tex]\frac{5xX}{5}[/tex] = [tex]\frac{35x2}{5}[/tex]
  • x = 14 popsicles

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