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In November's Math Meet, the Little Monsters of Beast Academy solved 1/3 of the problems. In March's Math Meet, they solved 2/7 of the problems. (There might be different numbers of problems asked in November and March.)

In total, the Little Monsters solved 15 of 28 problems over both Math Meets. How many problems were asked at March's Math Meet?

 Sep 10, 2022
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Note: There is no Positive integer solution with the given numbers! If your numbers in the last sentence are changed from 15 and 28 to 15 and 48, then there is a solution:

 

Let the number of problems in November ==N

Let the number of problems in March ==M

 

1/3N  +  2/7M ==15........................(1)

N  +  M == 48.................................(2), solve for N, M

 

N ==27 - number of problems in November.

M ==21 - number of problems in March.

 Sep 10, 2022

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