If your recipe calls for 3 eggs and 7.0 cups of flour to make 24.0 bagels, how many bagels will you be able to make if you have 52 eggs and 99.3 cups of flour available?

A. 72
B. 84
C. 96
D. 108

Question

High School

Answer :

asarwar asarwar · Answer 1 · 2024-08-17T21:39:39-04:00

You can make a maximum of 340 bagels with the available ingredients. None of the given options is answer.

Calculate the ratio of ingredients per bagel:

Eggs per bagel: 3 eggs / 24.0 bagels = 0.125 eggs/bagel

Flour per bagel: 7.0 cups / 24.0 bagels = 0.292 cups/bagel

Determine the limiting factor:

Eggs available: 52 eggs

Flour available: 99.3 cups

Maximum bagels based on eggs: 52 eggs / 0.125 eggs/bagel ≈ 416 bagels

Maximum bagels based on flour: 99.3 cups / 0.292 cups/bagel ≈ 340 bagels

Therefore, the limiting factor is flour, and you can make a maximum of 340 bagels.

Double-check the answer:

With 340 bagels, you would need:

Eggs: 340 bagels * 0.125 eggs/bagel ≈ 42.5 eggs

Flour: 340 bagels * 0.292 cups/bagel ≈ 99.12 cups

Since both eggs and flour are sufficient (slightly more than needed), 340 bagels is the correct answer.

None of the given options is answer.