Question

A baker has three banana muffin recipes. Recipe A uses 3 bananas to make 12 muffins. Recipe B uses 5 bananas to make 24 muffins. Recipe C uses 11 bananas to make 48 muffins.

Rutendo tried to order the recipes from least to greatest by bananas per muffin, but he made a mistake. Here's his work:

\begin{aligned} \dfrac{12}{3}&=4\\\\ \dfrac{24}{5}&=4.8\\\\ \dfrac{48}{11}&\approx 4.36\\\\ \stackrel{\text{Least}}{\underbrace{4}_\text{Recipe A}} &< \underbrace{4.36}_\text{Recipe C} < \stackrel{\text{Greatest}}{\underbrace{4.8}_\text{Recipe B}} \end{aligned}
3
12
​

5
24
​

11
48
​

Recipe A
4
​

​

Least
​

​

=4
=4.8
≈4.36
<
Recipe C
4.36
​

​
<
Recipe B
4.8
​

​

Greatest
​

​

What was Rutendo's mistake?
Choose 1 answer:

Answer 1

Answer: The answer is C

Explanation:

Because it is

Answer 2

Answer: Rutendo's mistake was ordering the recipes from least to greatest by bananas per muffin by comparing the number of bananas in each recipe rather than the number of bananas per muffin. ✅

Explanation:

By dividing the number of bananas used in each recipe by the number of muffins, he would have been able to determine which recipe uses the least amount of bananas per muffin.

Recipe A: 3/12 = 0.25 bananas per muffin

Recipe B: 5/24 = 0.208 bananas per muffin

Recipe C: 11/48 = 0.229 bananas per muffin

So Recipe A uses the least amount of bananas per muffin, Recipe C uses the next least amount of bananas per muffin, and Recipe B uses the most amount of bananas per muffin.