four apples and 2 ponkans cost 53.two apples and four ponkans cost 75.how much will half a dozen apples and half a dozen ponkans cost?

2 answers

Let A = cost of one apple
Let P = cost of one ponkan
According to the first statement,
4A + 2P = 53
According to the second statement,
2A + 4P = 75
Now we're looking for 6A + 6P (because half a dozen is equal to six). Notice that if we add the equations, we'll get 6A + 6P:
4A + 2P = 53
2A + 4P = 75
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6A + 6P = 128

Thus the cost is 128.
Hope this helps :)
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