Question

Maggie bought freight trains for her model train set. She spent $99 on them. Gage bought some model trains too. He spent $66 on them. Each train costs the same amount. At most, how much could each model freight train cost?

Answer 1

Answer: $33

Explanation:

To figure this question out, we need to find the GCF of 66 and 99 because that will give us the highest amount each train would cost.

To get the GCF, you complete a factor tree for both 66 and 99.

Then you list the prime factors of each number that are prime factors for both 66 and 99 and Multiply all the numbers in your list together. In this case, the prime factors that are in both 66 and 99s prime factorization, are 3 and 11 so we multiply 3 and 11 and get our answer, 33.