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Steve and Stephanie both get weekly allowances. Steve receives $15 plus $1.25 for every hour he completes housework. Stephanie receives $5 for every hour she completes housework. Write the equation that represents the situation. Let h represent the number of hours. Solve the equation. How many hours of housework do they need to complete for their allowances to be equal?

Steve and Stephanie both get weekly allowances Steve receives 15 plus 125 for every hour he completes housework Stephanie receives 5 for every hour she complete class=

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Answer:

25

Step-by-step explanation:

Steve and Stephanie need to complete 4 hours of housework for their allowances to be equal.

What is equation?

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

For given question,

Let 'x' represents the Steve's weekly allowances and 'y' represents the Stephanie's weekly allowance.

Let h represent the number of hours.

Steve receives $15 plus $1.25 for every hour he completes housework.

So, we get an equation,

⇒ x = (1.25)h + 15

Stephanie receives $5 for every hour she completes housework.

So, we get an equation,

⇒ y = 5h

We need to find the number of hours of housework they need to complete for their allowances to be equal.

When  their allowances are equal,

⇒ x = y

⇒ (1.25)h + 15 = 5h

⇒ 3.75 h = 15

⇒ h = 4 hours

Therefore, they need to complete 4 hours of housework for their allowances to be equal.

Learn more about an equation here:

https://brainly.com/question/13170101

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