Question

If you have 7 cups of noodles, 27 tomatoes, and 9 cloves of garlic, how many servings of pasta can you make?

Answer 1

This is an incomplete question, here is a complete question.

Consider the following recipe for making tomato and garlic pasta.

2 cups noodles + 12 tomatoes + 3 cloves garlic = 4 servings

If you have 7 cups of noodles, 27 tomatoes, & 9 cloves of garlic, how many servings of pasta can you make?

Also, which ingredient limits the amount of pasta that is possible?

Answer : The number of servings of pasta you make cab be, 9 servings.

Tomatoes is the ingredient the limits the amount of pasta.

Step-by-step explanation :

First we have to determine the number of cups of noodles and cloves of garlic needed from 27 tomatoes.

As, 12 tomatoes needs cups of noodles for making pasta = 2

So, 27 tomatoes needs cups of noodles for making pasta = $\frac{27}{12}\times 2=4.5$

and,

As, 12 tomatoes needs cloves of garlic for making pasta = 3

So, 27 tomatoes needs cloves of garlic for making pasta = $\frac{27}{12}\times 3=6.75$

From this we conclude that the tomatoes are the limiting ingredient in pasta.

Now we have to calculate the number of servings of pasta.

As, in 12 tomatoes the number of serving of pasta will be = 4

So, in 27 tomatoes the number of serving of pasta will be = $\frac{27}{12}\times 4=9$

Thus, the number of servings of pasta you make cab be, 9 servings.