math
posted by che .
three apples and 2 ponkans cost P51. two apples and 3 ponkans cost P46.50. how much will half a dozen apple and half a dozen ponkans cost?

one way:
3a+2p = 51
2a+3p = 46.50
add them up:
5a+5p = 97.50
multiply by 6/5:
6a+6p = 97.0 * 6/5 = 117.00
note that we didn't have to know how much each item cost.
another way:
multiply 1st by 2 and 2nd by 3 to get
6a+4p = 102
6a+9p = 139.50
subtract 1st from 2nd to get
5p = 37.50
p = 7.50
a = 12.00
6a+6p = 72.00 + 45.00 = 117.00 
thanks so much... but what if the cost of each ponkan and apples is asked? what will be the solution?

excuse me???
look at the second solution, where I actually figure the cost of each. 
yeah its there...thanks a lot...