Scarlett is playing a video game. She spends 900 minerals to create 18 workers. Each worker costs the same number of minerals. Write an equation to describe the relationship between m, the amount of minerals, and w, the number of workers.

Calculate cost per worker: Determine the cost per worker. To find the cost per worker, divide the total amount of minerals spent by the number of workers created. Calculation: Cost per worker = Total minerals spent / Number of workers Cost per worker = 900 minerals / 18 workersPerform division: Calculate the cost per worker. Perform the division to find the cost per worker. Calculation: Cost per worker = 900 / 18 Cost per worker = 50 minerals per workerWrite equation: Write the equation that represents the relationship between minerals and workers. Since each worker costs the same amount, the total minerals spent (m) is equal to the cost per worker times the number of workers (w). Equation: m = Cost per worker * w Substitute the cost per worker from Step 2 into the equation. m = 50 * w

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Scarlett is playing a video game. She spends 900 minerals to create 18 workers. Each worker costs the same number of minerals.
Write an equation to describe the relationship between
m, the amount of minerals, and
w, the number of workers.

Scarlett is playing a video game. She spends $900$ minerals to create $18$ workers. Each worker costs the same number of minerals. $\newline$ Write an equation to describe the relationship between $m$ , the amount of minerals, and $w$ , the number of workers.

View step-by-step help

Home

Math Problems

Algebra 1

Solve a system of equations using substitution: word problems

Full solution

Q. Scarlett is playing a video game. She spends

900

minerals to create

18

workers. Each worker costs the same number of minerals.

\newline

Write an equation to describe the relationship between

m

, the amount of minerals, and

w

, the number of workers.

Calculate cost per worker: Determine the cost per worker. $\newline$ To find the cost per worker, divide the total amount of minerals spent by the number of workers created. $\newline$ Cost per worker = $\frac{\text{Total minerals spent}}{\text{Number of workers}}$ $\newline$ Cost per worker = $\frac{900 \text{ minerals}}{18 \text{ workers}}$
Perform division: Calculate the cost per worker. $\newline$ Perform the division to find the cost per worker. $\newline$ Cost per worker = $\frac{900}{18}$ $\newline$ Cost per worker = $50$ minerals per worker
Write equation: Write the equation that represents the relationship between minerals and workers. $\newline$ Since each worker costs the same amount, the total minerals spent $m$ is equal to the cost per worker times the number of workers $w$ . $\newline$ Equation: $m = \text{Cost per worker} \times w$ $\newline$ Substitute the cost per worker from Step $2$ into the equation. $\newline$ $m = 50 \times w$ $\newline$ $m = 50w$