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

Question Prompt:  Question Prompt: Determine the number of months it will take for Albert to have as many stamps as Beth. Step 1:  Step 1: Set up the equation based on the information given. Beth starts with 80 stamps and adds 4 each month. Albert starts with 20 stamps and adds 10 each month. We need to find when they will have the same number of stamps. Step 2:  Step 2: Write the equation representing each person's stamp collection over time. For Beth: 80 + 4m, and for Albert: 20 + 10m. Set them equal to find when they have the same amount: 80 + 4m = 20 + 10m. Step 3:  Step 3: Solve for m. Subtract 4m from both sides to get: 80 = 20 + 6m. Step 4:  Step 4: Subtract 20 from both sides to isolate the term with m: 60 = 6m. Step 5:  Step 5: Divide both sides by 6 to solve for m: m = 10.

Full solution

More problems from Solve linear equations with variables on both sides: word problems

Related topics