Tanner and his sister, Mona, both brought gummy bears on a family car trip. At the beginning of the drive, Mona had twice as many gummy bears as Tanner. While on the road, Mona ate 23 of her gummy bears and Tanner ate 7 of his. When they got to their destination, Tanner realized they each had the same number of gummy bears left. Which equation can you use to find t, the number of gummy bears Tanner had at the beginning of the drive? Choices: (A)2t - 23 = t - 7 (B)t - 2 = 23t - 7 How many gummy bears did Tanner have at the beginning of the drive? ____ gummy bears

Question

Tanner and his sister, Mona, both brought gummy bears on a family car trip. At the beginning of the drive, Mona had twice as many gummy bears as Tanner. While on the road, Mona ate 23 of her gummy bears and Tanner ate 7 of his. When they got to their destination, Tanner realized they each had the same number of gummy bears left. Which equation can you use to find t, the number of gummy bears Tanner had at the beginning of the drive?   Choices: (A)2t - 23 = t - 7 (B)t - 2 = 23t - 7  How many gummy bears did Tanner have at the beginning of the drive?   ____ gummy bears

Bytelearn · Accepted Answer

Set up equation:  Let's set up the equation based on the problem statement. Tanner starts with t gummy bears, and Mona starts with 2t gummy bears. After eating some, Tanner has t - 7 left, and Mona has 2t - 23 left. They end up with the same amount, so the equation is: 2t - 23 = t - 7 Solve for t:  Now, solve for t. First, add 23 to both sides to eliminate the -23 from the left side: 2t - 23 + 23 = t - 7 + 23 2t = t + 16 Isolate t:  Next, subtract t from both sides to isolate t on one side: 2t - t = t + 16 - t t = 16

Full solution

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

Related topics