The number of cups of onion that are needed to make 117 cups of salsa is \(\boxed{27}.\)
Further explanation:
The proportionality equation can be expressed as follows,
\(y \propto x\)
The value of \(y\) changes as \(x\) changes. If the value of \(x\) increases then the value of \(y\) is also increasing.
The inversely proportional relationship can be expressed as,
\(y \propto \dfrac{1}{x}\)
The equation can be expressed as follows,
\(y = kx\)
Here, k is the proportionality constant.
Given:
A salsa recipe uses green pepper, onion, and tomato in the extended ratio \(1:3:9.\)
Explanation:
A salsa recipe uses green pepper, onion, and tomato in the extended ratio \(1:3:9.\)
Let us consider that the amount of green pepper is \(\boxed{1x}.\)
Let us consider that the amount of onion is \(\boxed{3x}.\)
Let us consider that the amount of tomato is \(\boxed{9x}.\)
The total amount green pepper, onion and tomato can be obtained as follows,
\(\begin{aligned}{\text{Total}} &= x + 3x + 9x\\&= 13x\\\end{aligned}\)
There are 117 cups of salsa.
The value of \(x\) can be obtained as follows,
\(\begin{aligned}13x &= 117\\x &= \frac{{117}}{{13}}\\x&= 9\\\end{aligned}\)
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 to make 117 cups of salsa is \(\boxed{27}.\)
Learn more:
- Learn more about inverse of the function https://brainly.com/question/1632445.
- Learn more about equation of circle brainly.com/question/1506955.
- Learn more about range and domain of the function https://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.
