At a heavy duty snow shovel was marked down by $6.00. The local sport committee purchased 3 shovels. The sale did not go well and the store owner made a new sal price by taking 1/3 off the original price. The sport committee purchased 3 more shovels. The total cost of the purchase was $102.00

Use the information to write an equation to calculate the original price if the shovel.

Question

Mathematics

Declan Bryan

21 July, 09:39

At a heavy duty snow shovel was marked down by $6.00. The local sport committee purchased 3 shovels. The sale did not go well and the store owner made a new sal price by taking 1/3 off the original price. The sport committee purchased 3 more shovels. The total cost of the purchase was $102.00

Use the information to write an equation to calculate the original price if the shovel.

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Answers (1)

Know the Answer?

Reese Berg · Answer 1

The original price was $26.40

Step-by-step explanation:

Set up the equation (s) for this situation. The total price was for six shovels, three of which were discounted by 33.3% from the initially marked-down price X:

$102 = 3 * (X-$6) + 3 * ((X-$6) * (2/3))

102 = 3X - 18 + 3 * (2/3) * X - 3 * (2/3) * 6

102 = 5X - 30

X = $26.40