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The table below gives the prices for Magic Carpet carpet cleaning. Size of house Steam clean, Steam clean protective finish. One-story $40, $65. Two-story $60, $85. Huang has also had the carpet in his personal residence (two stories) steam cleaned 5 times without the protective finish. He received a special offer for being a loyal customer, so the 5th cleaning was at a 20% discount. How much did Huang pay, on average, for 5 steam cleanings?

a) $81.60
b) $72.00
c) $62.40
d) $61.60

User ShaneC
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1 Answer

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Final answer:

Huang paid a total of $288 for 5 steam cleanings after receiving a 20% discount on the fifth cleaning. The average cost per cleaning is $57.60.Therefore, none of the given options is correct.

Step-by-step explanation:

To calculate the average cost that Huang paid for 5 steam cleanings of his two-story residence, we need to include the discount he received on the 5th cleaning. The regular price for steam cleaning a two-story house without the protective finish is $60. Since he received a 20% discount on the 5th cleaning, the cost for that service would be $60 - (20% of $60) = $60 - $12 = $48.

The total cost for the first 4 cleanings without the discount is 4 cleanings × $60 = $240. Adding the discounted 5th cleaning ($48), the total cost for 5 cleanings is $240 + $48 = $288.

To find the average cost, we divide the total cost by the number of cleanings: $288 ÷ 5 cleanings = $57.60. Hence, Option (d) $57.60 is the correct average cost per cleaning.

To calculate the average cost of Huang's steam cleanings, we need to find the total cost first. The first 4 steam cleanings were at the regular price of $60 each, since Huang's residence is a two-story house without the protective finish. So, the cost for the first 4 steam cleanings is: $60 x 4 = $240. For the 5th cleaning, which had a 20% discount, Huang paid 80% of the original price of $60, which is $48. Therefore, the total cost for the 5 steam cleanings is: $240 + $48 = $288.

To find the average cost, we divide the total cost by the number of steam cleanings: $288 / 5 = $57.60. So, Huang paid, on average, $57.60 for the 5 steam cleanings. However, none of the options provided match this average cost. Therefore, none of the given options is correct.

User Coto
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