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tangare [24]
3 years ago
7

A realtor's commission is directly proportional to the selling price of a house. Mr. Wiley earned a commission of $9,200 on a ho

use that sold for $184,000. At this rate, what would Mr. Wiley's commission be on a house that sells for $250,000?
Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
4 0
<span>Mr. Wiley earned a commission of $9,200 on a house that sold for $184,000.
</span><span>At this rate, Mr. Wiley's commission be on a house that sells for $250,000 = ?
commission = price of house sold
$9,200 = $184,000 
multiply both sides with $250,000
$9,200 x </span>$250,000 = $184,000 x $250,000
when the price is $250,000, the commission will be;
($9,200 x $250,000) / $184,000 = $250,000
$2300000/$184 = $250,000
$12,500 = $250,000
Thus, the commission is $12,500.

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jan, mya, and Sara ran a total of 64 miles last week. jan and mya ran the same number of miles. Sara ran 8 less miles than mya.
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So,

We'll just use A to represent both Jan and Mya's miles, since they ran the same number.

We have the equations:
1. Jan (J) = Mya (M)
2. Sara (S) = M - 8
3. 2A + S = 64
J = M
S = M - 8

We'll just use A to represent both J and M.

S = M - 8

We'll use Elimination by Substitution.
2A + A - 8 = 64

Collect Like Terms
3A - 8 = 64

Add 8 to both sides
3A = 72

Divide both sides by 3
A = 24

Since
A = J
and
A = M
and
J = M
then
J = 24
M = 24

Substitute
S = 24 - 8
S = 16

Check
24 + 24 + 16 = 64
64 = 64 This checks.

So,
J = 24
M = 24
S = 16
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