## Missing PriceMath brain teasers require computations to solve.When I went to the store, I purchased four items. The following shows the cost of three of the items:
$1.50 $3.00 $4.00 The line to the checkout was pretty long, so to quench my boredom I started playing with my pocket calculator while waiting. I found out, to my surprise, that the four prices of the four items I purchased added to the same number as I got when I multiplied the four prices together. What was the price of the fourth item? ## AnswerThe three prices add to 1.50 + 3.00 + 4.00 = $8.50.The three prices multiply to 1.50 x 3.00 x 4.00 = $18.00. You might be able to see that adding another $0.50 will take the total to $9.00, and multiplying by another $0.50 will take the product to $9.00 also, but the answer can also be found using algebra. Let's call the unknown price P: 1.50 + 3.00 + 4.00 + P = 1.50 x 3.00 x 4.00 x P 8.50 + P = 18.00 x P 8.50 = 18.00 x P - P 8.50 = 17.00 x P 8.50/17.00 = P P = 0.50. Hide ## What Next?
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