A hair salon receives a shipment of 84 bottles of hair conditioner to use and sell to customers. The two types are labels type A

& type B. A costs $6.50 per bottle and B costs $8.25 per bottle. The hair salon's invoice is $588. How many of each type of conditioner are in the shipment?

Mathematics

1 answer:

Rom4ik [11]3 years ago

6 0

$x-\ botlle\ A\\y-\ bottle\ B\\\\ \left \{ {{x+y=84} \atop {6,5x+8,25y=588}} \right. \\\\ \left \{ {{x=84-y} \atop {6,5x+8,25y=588}} \right. \\\\Substitution\ method\\\\
6,5(84-y)+8,25y=588\\\\
546-6,5y+8,25y=588\ \ \ | subtract\ 546
1,75y=42\ \ \| divide\ by\ 1,75\\\\y=24\\\\There\ were\ 24\ bottles\ B\ and\ 42\ bottle\ A.$

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astra-53 [7]

Answer:

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Step-by-step explanation:

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$A=\pi r^{2}$

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Now, focus your eyes on the circle. We are shown that the diameter of this circle is 42 mm, but we only want the radius. Since the radius is half the diameter, the radius is 21 mm. Now, we can solve for the area of the circle.

$A=\pi (21)^2\\A=441\pi \\A=1385.44236...$