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What equation represents this situation and what is the value of m?

What equation represents this situation and what is the value of m?-example-1
User Ovidio
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The equation that represents the situation is: b. m + m + 8 + 1/3(m + 21) = 71, m = 24.

How to find the right equation for the situation?

Let's use the variable m to represent Mia's time.

1. Thomas's time is 8 seconds more than Mia’s time: m + 8.

2. Jasmine’s time is 1/3 times the quantity of 21 seconds more than Mia’s time: 1/3(m + 21).

3. The sum of all three times is 71 seconds: m + (m + 8) + 1/3(m + 21) = 71.

Now let's simplify this equation:

m + m + 8 + 1/3(m + 21) = 71

Combine like terms:

2m + 8 + 1/3m + 7 = 71

Combine the constants:

2m + 1/3m + 15 = 71

Combine the m terms:

6/3m + 1/3m + 15 = 71

Combine the m terms on the left side:

7/3m + 15 = 71

Subtract 15 from both sides:

7/3m = 56

Multiply both sides by 3/7 to solve for m:

m = 3/7 × 56

m = 24

So, the correct equation is:

m + m + 8 + 1/3(m + 21) = 71

And the correct answer is:

b. m + m + 8 + 1/3(m + 21) = 71, m = 24.

User Rida Rezzag
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