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You are a salesperson for acme toys. Every day you earn $30 plus two ninths of your sales. What dollar amount of sales do you need today to earn $100?

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[tex]x-\ amount\ of\ sales\\\\ 30+\frac{2}{9}*x=100\ \ \ |Subtract\ 30\\\\ \frac{2}{9}*x=70\ \ \ |*9\\\\ 2x=630\ \ \ |:2\\\\x=315\\\\ You\ need\ 315\ sales.[/tex]

the salesperson earns a fixed cost of $ 30 plus 2/9th of his sales

we have to find how many sales he gets to earn $ 100 for one day

so lets say that the number of sales for the day - x sales

and he earns 2/9th of his sales

therefore amount he earns for x sales is - [tex] \frac{2}{9}* x = \frac{2x}{9} [/tex]

this value plus his fixed earnings of $ 30 per day

so the amount he earns is 2x/9 + 30

this equals $ 100

so we can write the following equation

[tex] \frac{2x}{9} + 30 = 100 [/tex]

[tex] \frac{2x}{9} = 100 - 30 [/tex]

[tex] \frac{2x}{9} = 70 [/tex]

2x = 70 * 9

2x = 630

x = 315

so the amount of sales he earns for that day is 315 sales


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