Answer:
Mo is sharing the sweets between 5 friends
Step-by-step explanation:
An important thing to note is that whichever way Mo shares the sweets, the total number of sweets he has does not change. It means that if he chooses the first method to share the sweets, or the second method, he still has the same number of sweets. This will be helpful in setting up an equation that will help us solve the problem.
If he chooses the first way to share the sweets:
7x + 2 = total number of sweets available.
<em>This is because each of his friends gets 7 sweets each, with 2 leftovers. If we add them up, it will give the total number of sweets available to be shared.</em>
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If he chooses the second way to share the sweets:
6x + 7 = total number of sweets available.
<em>This is because each of his friends gets 6 sweets each, with 7 leftovers. If we add them up, it will give the total number of sweets available to be shared.</em>
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because the total number of sweets do not change, we have
7x +2 = 6x +7
Grouping like terms,
7x - 6x = 7 - 2
x = 5.
Therefore, Mo is sharing the sweets between 5 friends
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