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2 years ago

A store salesperson is paid 3% of his sales as a commission. He made sales of $2500. How much was his commission?

Mathematics

1 answer:

PolarNik [594]2 years ago

7 0

1) Write 3% as 3/100

2) Since, finding the fraction of a number is same as multiplying the fraction with the number, we have:

$\frac{3}{100}$ of 2500 = $\frac{3}{100}$ × 2500

Therefore, the answer is 75

If you are using a calculator, simply enter 3÷100×2500 which will give you 75 as the answer.

Commission = $75

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<u>Solution: </u>

Need to calculate value of b so that given system of equations have an infinite number of solutions

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Let us bring the equations in same form for sake of simplicity in comparison

$\begin{array}{l}{y=6 x+b} \\\\ {\Rightarrow-6 x+y-b=0 \Rightarrow (1)} \\\\ {\Rightarrow-3 x+\frac{1}{2} y=-3} \\\\ {\Rightarrow -6 x+y=-6} \\\\ {\Rightarrow -6 x+y+6=0 \Rightarrow(2)}\end{array}$

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Let us first see what is requirement for system of equations have an infinite number of solutions

If $a_{1} x+b_{1} y+c_{1}=0$ and $a_{2} x+b_{2} y+c_{2}=0$ are two equation

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$\begin{array}{l}{a_{1}=-6, \mathrm{b}_{1}=1 \text { and } c_{1}=-\mathrm{b}} \\\\ {a_{2}=-6, \mathrm{b}_{2}=1 \text { and } c_{2}=6} \\\\ {\frac{a_{1}}{a_{2}}=\frac{-6}{-6}=1} \\\\ {\frac{b_{1}}{b_{2}}=\frac{1}{1}=1} \\\\ {\frac{c_{1}}{c_{2}}=\frac{-b}{6}}\end{array}$

As for infinitely many solutions $\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}$

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A store salesperson is paid 3% of his sales as a commission. He made sales of $2500. How much was his commission?​

A store salesperson is paid 3% of his sales as a commission. He made sales of $2500. How much was his commission?