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Asked Jan 16, 2006, 03:49 PM
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2 Answers A fruit vendor bought 36 pineapples for $30. He sold some at $1.29 each and the rest at $1.09 each, thereby gaining $13.64. How many did he sell at each price?  |
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| Algebra word problem Hi, Let x = number sold for 1.29 Then (36-x) = number sold for 1.09 If he gained $13.64, it means he made a total of $43.64 (add 30 to 13.64) So: 1.29(x) + 1.09(36-x) = 43.64 Multiply it out: 1.29x + 39.24 - 1.09x = 43.64 Combine terms: 0.2x + 39.24 = 43.64 Subtract: 0.2x = 4.4 Then, divide by 0.2 X = 22 Then, 36-22=14 So, Y = 14 That is 22 sold for 1.29 And 13 sold for 1.09 You can check the answer by: 1.29(22) + 1.09(14) = 43.64 The trick here is "gained", so adding the gain to what he paid would be what the tolal is. Best wishes. | ||||
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