Question

4. A. Use the recipe to find the ratio of teaspoons of salt to teaspoons of black pepper in simplest form. Put the ratio data in the first row of the ratio table below. Then, fill in more values in the ratio table to create two equivalent ratios. Teaspoons of Salt Teaspoons of Black Pepper B. Write one of the equivalent ratios that you created in your table, and explain why it is equivalent to the original ratio. C. If the Crazy 80s Baby makes a batch of gravy with 14 teaspoons of salt, how many teaspoons of black pepper will he need? Use your ratio table to find the answer.

Answer 1

For part A you just have to take a look at the recipe. It says 2 teaspoons of salt and 1 teaspoon of black pepper. Then, in the first row you have to write this two values (2 and 1, in that order)

To make equivalent ratios you have to multiply both by the same number. Let's say we multiply by 3, then the equivalent ratio is 6 teaspoons of salt and 3 teaspoons of black pepper.

Ratios are often expressed like 2:1 (teaspoons of salt by teaspoons of black pepper). Notice that this is like a fraction. To make an equivalent fraction you have to multiply and divide by the same number, this way the ratio stays the same.

To make more equivalent ratios, just pick any number and multiply the original amount of teaspoons of salt and black pepper by that number.

For part B, I just expained why. I'll make an example. If our ratio is 2:1

If we simplify that new ratio (dividing numerator and denominator by the same number) we get the original ratio:

For part C we use the table. It is said that they used 14 teaspoons of salt. By what number you have to multiply 2 (the amount of teaspoons of salt in the recipe) to make 14?

You have to multiply by 7. Then, if before we found that to keep the ratio we have to multiply both amount by the same number, this means that we have to multiply the recipe's amount of teaspoons of black pepper by 7:

So, in order to keep the ratio, they will have to add 7 teaspoons of black pepper