Question

A salsa recipe uses green pepper, onion, and tomato in the extended ration 1 : 3 : 9. How many cups of onion are needed to make 117 cups of salsa?
A. 3
B. 27
C. 9
D. 81

Answer 1

The number of cups of onion that are needed is $\boxed{27}.$

Further explanation:

Explanation:

A salsa recipe uses green pepper, onion, and tomato in the extended ratio $1:3:9.$

Consider that the amount of green pepper is $\boxed{y}.$

Consider that the amount of onion is $\boxed{3y}.$

Consider that the amount of tomato is $\boxed{9y}.$

The total amount green pepper, onion and tomato can be obtained as follows,

$\begin{aligned}{\text{Total}} &= y + 3y + 9y\\&= 13y\\\end{aligned}$

There are total 117 cups of salsa.

$\begin{aligned}13y&= 117\\y&= \frac{{117}}{{13}}\\y&= 9\\\end{aligned}$

The amount of onion used to make 117 cups of salsa can be obtained as follows,

$\begin{aligned}{\text{Amount of onion}} &= 3 \times 9\\&= 27\\\end{aligned}$

The number of cups of onion that are needed is $\boxed{27}.$

Learn more:

1. Learn more about inverse of the function brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Ratio and proportion

Keywords: proportional, salsa, recipe, green pepper, onion, tomato, extended, ratio, 1:3:9, cups, cups of onion, 117 cups, directly proportional, constant, proportionality equation, constant of proportionality.

Answer 2

Let x be a variable.

Using the ratio and the given number of 117, we can create the following formula:

1x + 3x + 9x = 117, where 3x is the cups of onion

Simplify this equation.

13x = 117

Divide both sides by 13

x = 9

We want to solve for 3x, so multiply both sides by 3

3x = 27

As I started earlier, 3x is how many cups of onions is needed; thus, 27 is our answer. Hope this helps! :)