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The average weight of a watermelon is 4.61 kg. The average weight of a coconut is 2.22 kg less than a watermelon. The total weight of an equal number of coconuts and watermelons is 140 kg. How many coconuts are there? ​

Respuesta :

Since the average weight of a coconut is 2.22 kg less than a watermelon, its average weight is

[tex]4.61-2.22=2.39[/tex]Let n be the number of coconuts and watermelons. The total weight of n coconuts and n watermelons is

[tex]4.61n+2.39n = 7n[/tex]

If we want this total to be 140, we have

[tex]7n=140 \iff n=\dfrac{140}{7}=20[/tex]

So, you have 20 coconuts and 20 watermelons.

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