Fred is 4 times as old as Nathan and is also 27 years older than Nathan. Let f be Fred's age and let n be Nathan's age. Which system of equations represents this situation? Choose 1 answer: (A) {[4f=n],[f=n+27]:} (B) {[f=4n],[f=n-27]:} (c) {[f=4n],[f=n+27]:} (D) {[n=4f],[n=f+27]:}

Define Variables: Let's define the variables based on the information given: Fred's age = f Nathan's age = n The problem states that Fred is 4 times as old as Nathan, which can be written as an equation: f = 4nEquations Representation: The problem also states that Fred is 27 years older than Nathan. This can be represented by another equation: f = n + 27Forming System of Equations: Now we have two equations that describe the relationship between Fred's and Nathan's ages: 1. f = 4n 2. f = n + 27 These two equations together form a system of equations that represent the situation.Matching Answer Choices: Looking at the answer choices, we need to find the one that matches our system of equations. The correct system of equations is: f = 4n f = n + 27 This corresponds to option (C).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Fred is 4 times as old as Nathan and is also 27 years older than Nathan.
Let
f be Fred's age and let
n be Nathan's age.
Which system of equations represents this situation?
Choose 1 answer:
(A)
{[4f=n],[f=n+27]:}
(B)
{[f=4n],[f=n-27]:}
(c)
{[f=4n],[f=n+27]:}
(D)
{[n=4f],[n=f+27]:}

Fred is $4$ times as old as Nathan and is also $27$ years older than Nathan. $\newline$ Let $f$ be Fred's age and let $n$ be Nathan's age. $\newline$ Which system of equations represents this situation? $\newline$ Choose $1$ answer: $\newline$ (A) $\left\{\begin{array}{l}4 f=n \\ f=n+27\end{array}\right.$ $\newline$ (B) $\left\{\begin{array}{l}f=4 n \\ f=n-27\end{array}\right.$ $\newline$ (C) $\left\{\begin{array}{l}f=4 n \\ f=n+27\end{array}\right.$ $\newline$ (D) $\left\{\begin{array}{l}n=4 f \\ n=f+27\end{array}\right.$

View step-by-step help

Home

Math Problems

Algebra 2

Is (x, y) a solution to the system of equations?

Full solution

Q. Fred is

4

times as old as Nathan and is also

27

years older than Nathan.

\newline

Let

f

be Fred's age and let

n

be Nathan's age.

\newline

Which system of equations represents this situation?

\newline

Choose

1

answer:

\newline

(A)

\left\{\begin{array}{l}4 f=n \\ f=n+27\end{array}\right.

\newline

(B)

\left\{\begin{array}{l}f=4 n \\ f=n-27\end{array}\right.

\newline

(C)

\left\{\begin{array}{l}f=4 n \\ f=n+27\end{array}\right.

\newline

(D)

\left\{\begin{array}{l}n=4 f \\ n=f+27\end{array}\right.

Define Variables: Let's define the variables based on the information given: $\newline$ Fred's age = $f$ $\newline$ Nathan's age = $n$ $\newline$ The problem states that Fred is $4$ times as old as Nathan, which can be written as an equation: $\newline$ $f = 4n$
Equations Representation: The problem also states that Fred is $27$ years older than Nathan. This can be represented by another equation: $\newline$ $f = n + 27$
Forming System of Equations: Now we have two equations that describe the relationship between Fred's and Nathan's ages: $\newline$ $1$ . $f = 4n$ $\newline$ $2$ . $f = n + 27$ $\newline$ These two equations together form a system of equations that represent the situation.
Matching Answer Choices: Looking at the answer choices, we need to find the one that matches our system of equations. The correct system of equations is: $\newline$ $f = 4n$ $\newline$ $f = n + 27$ $\newline$ This corresponds to option (C).