Question

read the story.
at the sundae salon, most customers order their sundaes with whipped cream. last weekend, for every 9 sundaes ordered with whipped cream, there were 2 sundaes ordered without whipped cream.
pick the diagram that models the ratio in the story.
if 36 sundaes with whipped cream were ordered last weekend, how many sundaes were ordered without whipped cream?
____ sundaes

Explanation:

Step1: Identify the correct ratio diagram

The story states the ratio of sundaes with whipped cream to without is 9:2. The first diagram has 9 purple boxes (with) and 2 green boxes (without), which matches this ratio.

Step2: Set up proportion for calculation

Let $x$ = number of sundaes without whipped cream. The proportion is $\frac{9}{2} = \frac{36}{x}$.

Step3: Solve for $x$ using cross-multiplication

$9x = 36 \times 2$
$9x = 72$
$x = \frac{72}{9}$

Answer:

1. Correct diagram: The first diagram (9 purple boxes labeled "with", 2 green boxes labeled "without")
2. 8 sundaes