Beth and her cousin Albert both collect stamps. Beth currently has 80 stamps in her collection, and she adds 4 more each month. Right now, Albert only has 20 stamps in his collection, but he adds 10 more each month. Which equation can you use to find m, the number of months it will take for Albert to have as many stamps as Beth? Choices: (A)80 - 4m = 20 + 10m (B)80 + 4m = 20 + 10m How many months will it take for Albert to have as many stamps as Beth? ____ months

Question

Beth and her cousin Albert both collect stamps. Beth currently has 80 stamps in her collection, and she adds 4 more each month. Right now, Albert only has 20 stamps in his collection, but he adds 10 more each month. Which equation can you use to find m, the number of months it will take for Albert to have as many stamps as Beth?   Choices: (A)80 - 4m = 20 + 10m (B)80 + 4m = 20 + 10m  How many months will it take for Albert to have as many stamps as Beth?   ____ months

Bytelearn · Accepted Answer

Define Stamps After Months: Let's define the number of stamps Beth and Albert will have after m months. Beth starts with 80 stamps and adds 4 each month, so after m months she will have 80 + 4m stamps. Albert starts with 20 stamps and adds 10 each month, so after m months he will have 20 + 10m stamps. We want to find the value of m when Beth and Albert have the same number of stamps.Set Equal Expressions: To find when they will have the same number of stamps, we set the expressions for the number of stamps they will have after m months equal to each other. This gives us the equation 80 + 4m = 20 + 10m.Subtract to Simplify: Now we need to solve for m. First, we can subtract 4m from both sides to get all the m terms on one side of the equation. This gives us 80 = 20 + 6m.Isolate Term with m: Next, we subtract 20 from both sides to isolate the term with m. This gives us 60 = 6m.Solve for m: Finally, we divide both sides by 6 to solve for m. This gives us m = 60 / 6.Final Result: Calculating 60 / 6, we find that m = 10. So it will take Albert 10 months to have as many stamps as Beth.

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