Bekele buys 3 kg of mangos & 12 bananas for birr 280 on tuesday. Three days later, from the same shop, almaz buys 2kg of mangos & 18 bananas for birr 300. What is the cost (in birr) of 1kg of mangos?
Answers
Step-by-step explanation:
I hope this answer will help you
Step-by-step explanation:
Cost of 3kg of mangoes and 12
bananas is birr 280 and cost of 2kg of mangoes and 18 bananas are birr 300
To find - Cost of 1 kg of mangoes
Solution - Let us assume the cost of
mangoes to be x and the cost of bananas to be y. Representing the given information in equation form we get :
3x +12y = 280 equation 1 and
2x + 18y = 300 equation 2
Equating both the equations by multiplying equation 1 with 2 and equation 2 with 3. We
get -6x + 24y = 560 equation 3
6x + 54y = 900 equation 4
Now, subtract equation 3 from equation 4.
30y = 340
y = 11.3
So, the cost of 1 banana is birr 11.3
Keep the cost of bananas in equation 1 to find the cost of mangoes.
3x + 12y = 280
3x + 12*11.3 = 280
3x + 136 = 280
3x = 144
x = 48
Hence, the cost of 1 kg mangoes is birr 48.
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