# The manager of the Craft Shop bought some rug kits for $16 each, sold all but 6 of them for$22 each, and made a total profit of $168. How many kits were originally bought? Iyana Jackson 2022-09-16 Answered The manager of the Craft Shop bought some rug kits for$16 each, sold all but 6 of them for $22 each, and made a total profit of$168. How many kits were originally bought?
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Aleah Harrell
Let the number of kits that were originally bought = x
Hence, total cost price = $16x Given that he sold all but 6 of them for$22 each and made a total profit of \$168.
Hence,
$\mathrm{}22×\left(x-6\right)-\mathrm{}16x=\mathrm{}168\phantom{\rule{0ex}{0ex}}⇒\mathrm{}22x-\mathrm{}132-\mathrm{}16x=\mathrm{}168\phantom{\rule{0ex}{0ex}}⇒\mathrm{}6x=\mathrm{}300\phantom{\rule{0ex}{0ex}}⇒x=50$
Hence, the number of kits that were originally bought = 50