Posted by **che** on Friday, December 28, 2012 at 10:25am.

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?

- math -
**Steve**, Friday, December 28, 2012 at 10:36am
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

- math -
**che**, Friday, December 28, 2012 at 10:43am
thanks so much... but what if the cost of each ponkan and apples is asked? what will be the solution?

- math -
**Steve**, Friday, December 28, 2012 at 10:48am
excuse me???

look at the second solution, where I actually figure the cost of each.

- math -
**che**, Friday, December 28, 2012 at 11:21am
yeah its there...thanks a lot...

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