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Emily made 90 cupcakes. She wants to arrange them into plates in such a way that every plate will carry equal number of cupcakes. How many plates can be used for this arrangement?
a) 6 b) 7 c) 11 d) 15
Answers & Comments
Step-by-step explanation:
To find out how many plates can be used for the arrangement of 90 cupcakes, you need to divide the total number of cupcakes by the number of cupcakes on each plate (equal number).
The options for the number of plates are: a) 6, b) 7, c) 11, d) 15.
Let's test each option:
a) If you use 6 plates, you can arrange 6 * 15 cupcakes, which is 90 cupcakes. So, option a) works.
b) If you use 7 plates, you can't arrange 7 * 15 cupcakes, which would be 105 cupcakes, so option b) doesn't work.
c) If you use 11 plates, you can't arrange 11 * 15 cupcakes, which would be 165 cupcakes, so option c) doesn't work.
d) If you use 15 plates, you can't arrange 15 * 15 cupcakes, which would be 225 cupcakes, so option d) doesn't work.
So, the correct answer is a) 6. Emily can use 6 plates to arrange the 90 cupcakes with an equal number on each plate.
Verified answer
Answer:
If there are 15 plates than every plate will carry 6 cupcakes
if there are 6 plates than every plate will carry 15 cupcakes
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