In a crate of fruits, there are at most 65 pears, strawberries, and oranges. If the total number of pears and oranges is two-thirds of the number of strawberries, find the maximum number of strawberries in the crate.
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Given : In a crate of fruits, there are at most 65 pears, strawberries, and oranges.
the total number of pears and oranges is two-thirds of the number of strawberries,
To find : the maximum number of strawberries in the crate.
Solution:
Number of pears = P
Number of strawberries = S
Number of Oranges = O
P + S + O ≤ 65
P + O = (2/3)S
=> (2/3)S + S ≤ 65
=> 5S/3 ≤ 65
=> S/3 ≤ 13
=> S ≤ 39
the maximum number of strawberries in the crate is 39
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