Question

The cost of 3 banana, 4 apples and 6 mangoes is rs.29 and the cost of 2 bananas, 6 apples and 3 mangoes is rs.23. what is the cost of 7 bananas, 16 apples and 12 mangoes?

Answer 1

Let cost of 1 banana, 1 apple and 1 mango be b, a and m respectively, then
3b + 4a + 6m = 29 ---(i) and
2b + 6a + 3m = 23 ---(ii)
As we need cost of 7 bananas, 16 apples and 12 mangoes, so multiply equation (ii) by 2, we get
4b + 12a + 6m = 46 ---(iii)
Now adding equation (i) & (iii), we get 7b + 16a + 12m = 75

1 banana cost is 1 ruppes and 1 apple price is 2 rupees and 1 mango is for 3 rupees so the answer is 75 rupees