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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bearhunter [10]

<h3>Answer:</h3>

x=2

<h3>Solution:</h3>

In order to isolate x, we should first of all take the square root of both sides.
If we take the square root of the left-hand side, we will get
$x-\displaystyle\frac{1}{2}$
How about the right-hand side? Well, we should take the square root of the numerator (9) and the denominator (4)
So we have
$x-\displaystyle\frac{1}{2} =\frac{3}{2}}$
Move -1/2 to the right:
$x=-\displaystyle\frac{3}{2} +\frac{1}{2}$
$x=\displaystyle\frac{4}{2}$
x=2