Math  /  Algebra

QuestionScarlett 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 mm, the amount of minerals, and ww, the number of workers. \square

Studdy Solution

STEP 1

What is this asking? How can we write an equation that shows how the number of workers Scarlett can create relates to the minerals she spends? Watch out! Don't mix up the minerals and workers in the equation!

STEP 2

1. Find the cost of each worker.
2. Write the equation.

STEP 3

Alright, so Scarlett spent a whopping **900** minerals to make **18** workers.
And each worker costs the same amount.
This sounds like a division problem!

STEP 4

We want to find the minerals per worker, so we **divide** the **total minerals** by the **number of workers**: 900 minerals18 workers=50mineralsworker \frac{900 \text{ minerals}}{18 \text{ workers}} = 50 \frac{\text{minerals}}{\text{worker}} So, each worker costs **50** minerals.
Awesome!

STEP 5

Now, we need to write an equation that relates *m*, the amount of minerals, and *w*, the number of workers.

STEP 6

We know that each worker costs **50** minerals.
So, if Scarlett wants *w* workers, she'll need 50w50 \cdot w minerals.

STEP 7

This means our equation is: m=50w m = 50 \cdot w Where *m* is the **total minerals** and *w* is the **number of workers**.
Boom!

STEP 8

m=50w m = 50 \cdot w

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