The cost of 17 apples, 9 oranges , 13 bananas is rs 130 , whereas cost of 13 oranges, 7 apples and 10 bananas is rs 100. find the cost of 1 apple , 1 banana and 1 orange put together?

One Answer on this Question

1. Let cost for apple be a Cost for banana be b and Orange be c

   So by first value expression becomes 17a + 13b + 9c =130 ———-1 therefore if you further solve a = (130 – 13b – 9c)/17 ———- 2 the second expression becomes: 13c + 7a + 10b = 100 ———- 3 If you put value of a in second expression it becomes: 13c + 7[(130 – 3b – 9c)/17] +10b = 100

   Further if you solve you get value of b:

   b = 10 – 2c ———-4

   put value of b from 4 in 1

   17a + 13 [10 – 2c] + 9c = 130

   Further if you solve you find value of a

   a = c ———-5

   Put 5 in 3

   13c + 7c + 10b = 100

   further solve you get: c = 1 ———-6

   from 5 and 6

   a = c = 1 ———-7

   Substitute value of c in expression 4

   b = 10 – 2c b = 10 -2 * 1 b = 8 ———-8

   therefore a + b + c = 10

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