Cheese cupcakes are sold at 20 pieces per box and cheese roll at 12 pieces per box. If you want to have the same number of each item, what is the least number of boxes of each you need to buy?
a. 3 boxes of cheese cupcakes, 5 boxes of cheese roll
b. 6 boxes of cheese cupcakes, 10 boxes of cheese roll
c. 5 boxes of cheese cupcakes, 3 boxes of cheese roll
d. 10 boxes of cheese cupcakes, 6 boxes of cheese roll
a. 3 boxes of cheese cupcakes, 5 boxes of cheese roll
b. 6 boxes of cheese cupcakes, 10 boxes of cheese roll
c. 5 boxes of cheese cupcakes, 3 boxes of cheese roll
d. 10 boxes of cheese cupcakes, 6 boxes of cheese roll
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Answer:
To find the least number of boxes of each item needed to have the same number, we need to find the least common multiple (LCM) of the number of pieces in each box.
The number of pieces per box for cheese cupcakes is 20, and for cheese roll is 12.
The LCM of 20 and 12 is 60.
So, to have the same number of each item, we need to buy 3 boxes of cheese cupcakes (3 * 20 = 60 pieces) and 5 boxes of cheese roll (5 * 12 = 60 pieces).
Therefore, the correct answer is:
a. 3 boxes of cheese cupcakes, 5 boxes of cheese roll
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