Question

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?

Answer 1

14 popsicles

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
`(a)/(b)` =
`(c)/(d)`)

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:
  `(5)/(2)` =
  `(35)/(x)`

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.

• 
  `(5xX)/(5)` =
  `(35x2)/(5)`

• x = 14 popsicles