Bridget’s Bakery sells cupcakes in packages of 6.
Penny’s Pastries sells cupcakes in packages of 10.
Sheldon wants to buy the same number of cupcakes from each bakery for a party, and he can only buy cupcakes in packages.
Which of the following could be the number of cupcakes he buys from each bakery?
A
2
B
16
C
20
D
30
LCM(6,10) = 30
To figure out the answer, we need to find a number that can be divided by both 6 and 10 evenly. In other words, we are looking for a common multiple of 6 and 10.
One way to find the common multiple is to list the multiples of each number until we find a common one.
First, let's list the multiples of 6: 6, 12, 18, 24, 30, 36, ...
Next, let's list the multiples of 10: 10, 20, 30, 40, 50, 60, ...
From the lists, we can see that the common multiple of 6 and 10 is 30.
So, Sheldon could buy 30 cupcakes from each bakery.
Therefore, the answer is option D, 30.