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Shtirlitz [24]
2 years ago
13

Ian Zander earns extra money by refinishing wood floors. His charge is based on the size and condition of the floor. Last month,

he refinished 6 floors for $140 each, 2 floors for $220 each and 1 floor for $178. What average amount per floor did he earn for the month?
Mathematics
1 answer:
cricket20 [7]2 years ago
8 0

Answer:

Average per floor = 162 dollars.

Step-by-step explanation:

Remark

First find the number of floors

Then make a total   income received from those floors.

Then divide the total income by the number of floors, to get the average

Number of floors

Total number of floors = 6 + 2 + 1 = 9 floors

Total income

Total income = cost per floor * the number of floors.

Total income

6 * 140 =  840

2 * 220 = 440

1 * 178   = 178

Total    = 1458

Average income / Floor

Average income / Floor = Total amount / number of floors

Average Income / Floor = 1458 / 9 =  162

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\bf \begin{array}{lccclll}
&\stackrel{lbs}{syrup}&\stackrel{concentration~\%}{syrup}&\stackrel{concentration}{amount}\\
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\textit{25\% syrup}&10&0.25&2.5\\
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\end{array}
\\\\\\
\begin{cases}
10+x=\boxed{y}\\
2.5+0.00x=0.10y\\
----------\\
2.5 = 0.10\left( \boxed{10+x} \right)
\end{cases}
\\\\\\
2.5=1 + 0.10x\implies 1.5=0.10x
\\\\\\
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