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17. A Fruity Number...

Two mangoes and four bananas cost 1.82
Four apples and two mangoes cost 1.54
How much would it cost for one apple, one banana and one mango?
 

Scroll down the page for the answer.


 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

So if a = number of apples, b = number of bananas and m = number of mangoes, then

2m + 4b = 182
 
and
 
4a + 2m = 154

add both these equations to get

4a + 4b + 4m = 336

so

4(a + b + m) = 336

so

a + b + m = 84

so the cost is 0.84
 

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