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Rick and Myra collect stamps. Rick has 150 fewer stamps than Myra. Together they have collected 500 stamps. How many stamps does each person have in his or her collection?

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4 votes

Answer:

175 stamps for Rick

Explanation:

r+m = 500 r = m-150 m-150 +m = 500 2m =500+150= 650 m=650/2 = 325 stamps for Myra r =325-150 = 175 stamps for Rick

User Hvollmeier
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6 votes

Let's call the number of stamps Myra has M and the number of stamps Rick has R.

We know that Rick has 150 fewer stamps than Myra, so we can say R = M - 150. We also know that together they have collected 500 stamps, so we can say R + M = 500.

Substituting the value of R from the first equation into the second equation, we get (M - 150) + M = 500.

Combining like terms, we get 2M - 150 = 500. Adding 150 to both sides of the equation, we get 2M = 650.

Dividing both sides of the equation by 2, we get M = 325.

Substituting the value of M into the first equation, we get R = 325 - 150 = 175.

So Myra has 325 stamps and Rick has 175 stamps.

You're welcome :)

User FoJjen
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8.0k points
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