Amount of Money Spend By Company

Discussion in 'Algebra' started by nycmathguy, May 18, 2022.

1. nycmathguy

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Math 004 sample test questions for anyone seeking NYS certification as a high school math teacher. This is just one of several exams required for NYS high school teacher certification.

Let m = amount of money the company spends on employee wages and benefits.

Employee & wages : all other operational costs of a business

This leads to 2 : 3, respectively.

2m + 3m = 130,000

Yes?

nycmathguy, May 18, 2022
2. MathLover1

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Since the ratio of wages and benefits to other costs is 2:3, the amount of money spent on wages and benefits is 2/5 of the businessâ€™s total expenditure. 2/5 *$130,000 =$52,000.

MathLover1, May 18, 2022
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3. nycmathguy

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Mira,

1. The fraction 2/5 is not given anywhere in the problem.

2. What information led you to select 2/5 as the correct fraction to multiply by 130,000?

3. I know that a ratio is a fraction.
My reasoning is 2 : 3 = 2 to 3 = 2/3.
Why 2/3 not the correct fraction?

4. What information led you to multiply 130,000 by 2/5?

5. I multiplied 2/3 (130,000) and got 26,000. Why is this the wrong approach?

nycmathguy, May 18, 2022