Teresa earns a weekly salary of $925 and a 5% commission on her total sales. Ramón earns a weekly salary of $1,250 and a 3% commission on sales. What amount of sales, x, will result in each of them earning the same amount for the week?

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$\displaystyle{b}{e}{g}\in{\left\lbrace{a}{r}{r}{a}{y}\right\rbrace}{\left\lbrace{\left|{l}\right|}{l}{\left|{l}\right|}\right\rbrace}{h}{l}\in{e}\text{Blend}&\text{Mix requirement}&\text{Selling price/lb(\\$)}\backslash{h}{l}\in{e}\text{special}&\text{at least 40% columbian,}&{6.50}\backslash&\text{at least 30% mocha}\backslash{h}{l}\in{e}\text{Dartk}&\text{at least 60% Brazillian}&{5.25}\backslash&\text{no more than 10% mid}\backslash{h}{l}\in{e}\text{Regular}&\text{no more than 60% mid}&{3.75}\backslash&\text{at least 30% Brazillian}\backslash{h}{l}\in{e}{e}{n}{d}{\left\lbrace{a}{r}{r}{a}{y}\right\rbrace}$
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Answer 1

If Teresa earns a 5% commission on her total sales, then she will earn 0.05x dollars for xx amount of sales. She also earns a weekly salary of $925 so her total earnings are 925+0.05xx dollars.
If Ramon earns a 3% commission on his total sales, then he will earn 0.03x dollars for xx amount of sales. He also earns a weekly salary of $1,250 so his total earnings are 1,250+0.03x dollars.
If they earn the same amount for the week, then:
925+0.05x=1,250+0.03x
925+0.02x=1,250
0.02x=325
x=16,250
Their weekly earnings will then be the same for $16,250 in sales.

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Teresa earns a weekly salary of $925 and a 5% commission on her total sales. Ramón earns a weekly salary of $1,250 and a 3% commission on sales. What amount of sales, x, will result in each of them earning the same amount for the week?

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