alexusazbell alexusazbell

02-05-2017
Mathematics

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If 3 pomegranates and 2 kumquats cost $13, and 2 pomegranates and 4 kumquats cost $10, what is the price of one kumquat in dollars?

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02-05-2017

3p + 2k = 13
2p + 4k = 10

multiply 1st equation by (2)

6p + 4k = 26
2p + 4k = 10
----------------subtract
4p = 16
p = 4

3p + 2k = 13
3(4) + 2k = 13
2k = 13 - 12
2k = 1
k = 1/2
k = 0.5

answer:
price of one kumquat in dollars = $.50 or 50 cents

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