The cost of 5 kg apples and 3 kg oranges is ₹ 535. If the cost of 8 kg apples and 6 kg oranges is ₹ 910, then what is the cost of 2 kg apples and 8 kg oranges?
Answer & explanation
Correct answer: option 3
We have,
The cost of 5 kg apples and 3 kg oranges is ₹ 535 and cost of 8 kg apples and 6 kg oranges is ₹ 910.
5a + 3b = 535 -----1
8a + 6b = 910-----2
Now divide equation with 2, then we get,
4a + 3b = 455
Subtract 4a + 3b = 455 from 5a + 3b = 535
we get, a = 80
Now put the value of a in either 1 or 2
then b = 45
Now, we have to find, 2 kg apples and 8 kg oranges = 2(80) + 8(45) = 520