The number of cups of onion that are needed to make 117 cups of salsa is [tex]\boxed{27}.[/tex]
Further explanation:
The proportionality equation can be expressed as follows,
[tex]y \propto x[/tex]
The value of [tex]y[/tex] changes as [tex]x[/tex] changes. If the value of [tex]x[/tex] increases then the value of [tex]y[/tex] is also increasing.
The inversely proportional relationship can be expressed as,
[tex]y \propto \dfrac{1}{x}[/tex]
The equation can be expressed as follows,
[tex]y = kx[/tex]
Here, k is the proportionality constant.
Given:
A salsa recipe uses green pepper, onion, and tomato in the extended ratio [tex]1:3:9.[/tex]
Explanation:
A salsa recipe uses green pepper, onion, and tomato in the extended ratio [tex]1:3:9.[/tex]
Let us consider that the amount of green pepper is [tex]\boxed{1x}.[/tex]
Let us consider that the amount of onion is [tex]\boxed{3x}.[/tex]
Let us consider that the amount of tomato is [tex]\boxed{9x}.[/tex]
The total amount green pepper, onion and tomato can be obtained as follows,
[tex]\begin{aligned}{\text{Total}} &= x + 3x + 9x\\&= 13x\\\end{aligned}[/tex]
There are 117 cups of salsa.
The value of [tex]x[/tex] can be obtained as follows,
[tex]\begin{aligned}13x &= 117\\x &= \frac{{117}}{{13}}\\x&= 9\\\end{aligned}[/tex]
The amount of onion used to make 117 cups of salsa can be obtained as follows,
[tex]\begin{aligned}{\text{Amount of onion}} &= 3 \times 9\\&= 27\\\end{aligned}[/tex]
The number of cups of onion that are needed to make 117 cups of salsa is [tex]\boxed{27}.[/tex]
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.
