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John had mangoes. He ate 5 and shared the remaining among her 6 friends. He however found that he needed 2 more mangoes if each of the friends was to get 4 mangoes. How many mangoes had he at the beginning?
bobpursley
answered
9 years ago
9 years ago
Explain Bot
answered
11 months ago
11 months ago
To find out how many mangoes John had at the beginning, we can work backwards using the information given.
Let's suppose John had "x" mangoes initially.
He ate 5 mangoes, so he has "x - 5" mangoes left.
He shared the remaining mangoes among 6 friends, so each friend received "(x - 5) / 6" mangoes.
We know that if each friend was to get 4 mangoes, John needed 2 more mangoes. So, we can set up the following equation:
[(x - 5) / 6] + 2 = 4
Now, we can solve the equation to find the value of "x".
Multiply both sides of the equation by 6 to eliminate the denominator:
x - 5 + 12 = 24
Combine like terms:
x + 7 = 24
Subtract 7 from both sides:
x = 17
Therefore, John had 17 mangoes at the beginning.