Lavonne purchased some tickets and snack vouchers for an upcoming event and gave them to the members of her work group. Each member of her work group received the same number of tickets and the same number of snack vouchers. The total number of tickets she gave to her group was 30, and the total number of snack vouchers was 75. Which of the following could be the number of members in Lavonne’s work group?
Correct answer: B
Explanation
A. Incorrect. Start by writing out the factors of 30 and 75. Then, think about which number is a common factor between the two numbers. Remember that the answer needs to be a factor of both numbers, not just of 30.
B. Correct. The answer will need to be a common factor of 30 and 75. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. The factors of 75 are 1, 3, 5, 15, 25, and 75. The common factors of 30 and 75 are therefore 1, 3, 5, and 15. Out of these common factors, only 15 is a possible answer choice.
C. Incorrect. Start by writing out the factors of 30 and 75. Then, think about which number is a common factor between the two numbers. Remember that the answer needs to be a factor of both numbers, not just of 75.
D. Incorrect. Start by writing out the factors of 30 and 75. Then, think about which number is a common factor between the two numbers. Remember that the answer needs to be a factor of both numbers, not just of 30.
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