Bananas and mango

5 kg of bananas and three kilograms of mango cost 146 CZK, and two kilograms of bananas and 5 kilograms of mango cost 142 CZK. How much is a kilogram of bananas, and how many mangoes?

Correct answer:

b =  16
m =  22

Step-by-step explanation:


5b+3m=146
2b+5m=142

5·b+3·m=146
2·b+5·m=142

5b+3m = 146
2b+5m = 142

Row 2 - 2/5 · Row 1 → Row 2
5b+3m = 146
3.8m = 83.6


m = 83.6/3.8 = 22
b = 146-3m/5 = 146-3 · 22/5 = 16

b = 16
m = 22

Our linear equations calculator calculates it.



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