Question

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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Answer 1

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

Answer 2

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.

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