the cost of 5 oranges and 3 apples is 43 rupees and the cost of 2 oranges and 4 apples is 34 rupees. find the cost of an orange
and an apple
1 answer:
Answer: Orange = 5 rupee
Apple = 6 rupees
Step-by-step explanation:
Let the cost of an orange be x
Let the cost of an apple be y
We can form an equation from the question given which will be:
5x + 3y = 43 ......... i
2x + 4y = 34 ......... ii
Multiply equation i by 2
Multiply equation ii by 5
10x + 6y = 86 ........ iii
10x + 20y = 170 ..... iv
Subtract iii from iv
14y = 84
y = 84/14
y = 6
An apple cost 6 rupees
Since from equation ii
2x + 4y = 34
2x + 4(6) = 34
2x + 24 = 34
2x = 34 - 24
2x = 10
x = 10/2
x = 5
An orange cost 5 rupee
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