Question #N370
A bakery sells cookies in packages of 6, 12, and 24. A customer buys 3 packages of cookies, and the total number of cookies is 42. If the customer bought at least one package of each size, how many packages of 12 cookies did the customer buy?
A. 1
B. 2
C. 3
D. 4
Correct Answer is: A
Let x be the number of packages of 12 cookies the customer bought. Since the customer bought at least one package of each size, the customer bought 1 package of 6 cookies and 1 package of 24 cookies. The total number of cookies is 6 + 12x + 24 = 30 + 12x. Since the total number of cookies is 42, we can set up the equation 30 + 12x = 42. Subtracting 30 from both sides of this equation yields 12x = 12. Dividing both sides of this equation by 12 gives x = 1. Therefore, the customer bought 1 package of 12 cookies.