Tristen is a salesman whose base pay plus commissions amounted to $$ \$ 59,238 $$ last year. If his base pay was $$ \$ 31,050 $$ and he made $$ \$ 97,200 $$ in sales last year, what was his rate of commission?

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The rate of commission is $0.29 per dollar of sales. Let's denote the rate of commission as $$ r $$. We know that Tristen's base pay plus commissions amounted to $59,238 last year. This can be represented as: $$ \text{Base Pay} + \text{Commissions} = \$59,238 $$ Given that Tristen's base pay was $31,050, we can substitute this value into the equation: $$ \$31,050 + \text{Commissions} = \$59,238 $$ We also know that Tristen made $97,200 in sales last year. The commissions he earned from sales can be calculated as: $$ \text{Commissions} = \text{Sales} \times r $$ Substitute the value of sales into the equation: $$ \text{Commissions} = \$97,200 \times r $$ Now, we can substitute the value of commissions from the first equation into the second equation to solve for the rate of commission $$ r $$. Solve the equation by following steps: - step0: Solve for $$r$$: $$31050+97200r=59238$$ - step1: Move the constant to the right side: $$97200r=59238-31050$$ - step2: Subtract the numbers: $$97200r=28188$$ - step3: Divide both sides: $$\frac{97200r}{97200}=\frac{28188}{97200}$$ - step4: Divide the numbers: $$r=\frac{29}{100}$$ The rate of commission for Tristen is $0.29 per dollar of sales.

Tristen is a salesman whose base pay plus commissions amounted to \( \$ 59,238 \) last year. If his base pay was \( \$ 31,050 \) and he made \( \$ 97,200 \) in sales last year, what was his rate of commission?

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Tristen is a salesman whose base pay plus commissions amounted to \( \$ 59,238 \) last year. If his base pay was \( \$ 31,050 \) and he made \( \$ 97,200 \) in sales last year, what was his rate of commission?

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