Question

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?

Answer 1

`x-\ amount\ of\ sales\\\\ 30+(2)/(9)*x=100\ \ \ |Subtract\ 30\\\\ (2)/(9)*x=70\ \ \ |*9\\\\ 2x=630\ \ \ |:2\\\\x=315\\\\ You\ need\ 315\ sales.`

Answer 2

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 -
`(2)/(9)* x = (2x)/(9)`

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

`(2x)/(9) + 30 = 100`

`(2x)/(9) = 100 - 30`

`(2x)/(9) = 70`

2x = 70 * 9

2x = 630

x = 315

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