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The total cost of $4 sharpeners and $7 folders is $30.05. If the cost of a sharpener is $a, and a folder is $2.80 more expensive, find $a. Give your answer to two decimal places.

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sqdancefan

9514 1404 393

Answer:

  a = $0.95

Step-by-step explanation:

The cost of a sharpener is 'a', and the cost of a folder is $2.80 more, so is a+2.80. The total cost of 4 sharpeners and 7 folders is ...

  4a +7(a+2.80) = 30.05

  11a = 10.45 . . . . . . . . . . . subtract 19.60

  a = 0.95 . . . . . . . . . . . divide by 11

The cost of a sharpener is a = $0.95.

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