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Mathcounts: Grace made over four dozen cupcakes. If she makes packages of 2 cupcakes, then there is 1 left over. Packaging in groups of 3 cupcakes leaves 2 left over,

and packaging in groups of 4 cupcakes leaves 3 left over. What is the fewest
number of cupcakes Grace could have made?

User Learningcs
by
7.8k points

2 Answers

4 votes

Answer: 59

Explanation:

48/2=24

24-3=21

21/7=3

3*19.9999999999997=59

User Darren Bishop
by
8.7k points
4 votes

Answer:

Explanation:

4 dozen = 48 cupcakes

The number must be odd over 48

Number must be multiple of 3 + 2

so:

With the number x:
x = 2a + 1 = 3b + 2 = 4c + 3 =?

2a + 1 = 3b + 2 = 4c + 3

2a + 1 = 59

3b + 2 = 59

4c + 3 = 59

User TeFa
by
8.9k points
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