Question

A salesperson earns $50 a day plus 12% commission on sales over $200. If her daily earnings are $76.88, how much money in merchandise did she sell?

Algebra foundations
ANSWERED
asked 2021-02-10
A salesperson earns $50 a day plus 12% commission on sales over $200. If her daily earnings are $76.88, how much money in merchandise did she sell?

Answers (1)

2021-02-11
Let x be the amount the salesperson sells in merchandise so that her commission is 0.12x. Her earning a day plus the commission is equal to $76.88 so the equation is:
\(\displaystyle{50}+{0.12}{x}={76.88}\)
Subtract 50 from both sides:
\(\displaystyle{0.12}{x}={26.88}\)
Divide both sides by 0.12:
\(\displaystyle{x}=\frac{{26.88}}{{0.12}}\)
\(\displaystyle{x}={224}\)
So, the salesperson sold an amount of $224 in merchandise.
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