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Each Christmas elf makes
x toys in an hour.
n elves work for
t hours to produce 1000 toys.
Write an equation that relates
x,n, and
t.

Each Christmas elf makes $x$ toys in an hour. $n$ elves work for $t$ hours to produce $1000$ toys. $\newline$ Write an equation that relates $x, n$ , and $t$ .

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Write and solve equations for proportional relationships

Full solution

Q. Each Christmas elf makes

x

toys in an hour.

n

elves work for

t

hours to produce

1000

toys.

\newline

Write an equation that relates

x, n

, and

t

.

Understanding the Variables: Let's start by understanding the relationship between the variables. We know that each elf makes $x$ toys in an hour. If $n$ elves work together, they will make $n \times x$ toys in an hour.
Considering the Time Factor: Next, we need to consider the time factor. If $n$ elves work for $t$ hours, the total number of toys produced will be $n \times x \times t$ .
Setting up the Equation: We are given that the total number of toys produced is $1000$ . So, we can set up the equation $n \times x \times t = 1000$ to represent the relationship between $x$ , $n$ , and $t$ .

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