Miriam and Betty buy a total of 42 stamps. Miriam bought 6 more stamps than Betty did. How many stamps did Miriam buy? A. 18 B. 24 C. 30 D. 36

Short Answer

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B. 24

Step by step solution

01

Define the variables

Let x represent the number of stamps Betty bought, and let (x + 6) represent the number of stamps Miriam bought (as she bought 6 more than Betty).
02

Create an equation based on the given information

We know that Miriam and Betty together bought 42 stamps, so we can add the number of stamps bought by both individuals (x for Betty and x + 6 for Miriam) to create an equation: \(x + (x + 6) = 42\)
03

Solve the equation for x

Combine the x terms: \(2x + 6 = 42\) Subtract 6 from both sides: \(2x = 36\) Divide both sides by 2: \(x = 18\) Now we know that Betty bought 18 stamps.
04

Find the number of stamps Miriam bought

Since Miriam bought 6 more stamps than Betty, and we know that Betty bought 18 stamps, we can find the number of stamps Miriam bought: Miriam bought: \(18 + 6 = 24\) stamps So the correct answer is B. 24.

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