three apples and two ponkans cost P51.00. two apples and three ponkans cost P46.50. how much will half a dozen apples and half a dozen ponkans cost?

Answer 1

3a + 2p = 51
2a + 3p = 46.5

multiply the first by 3 and the 2nd by 2 to get the p's the same, then
subtract them. Once you have found a, sub it back into the original first
equation to find p
then evaluate 6a + 6p

Answer 2

a = cost of aples

p = cost of ponkans

You must solve system of two equations:

3 a + 2 p = 51

2 a + 3 p = 46.5
____________

The solutions are:

a = 12 , p =7.5

Half a dozen apples and half a dozen ponkans cost:

a / 2 + p / 2 = 12 / 2 + 7.5 / 2 = 6 + 3.75 = 9.75