Khloe and Emma work at a furniture store. Khloe is paid $245 per week plus 9.5% of her total sales in dollars, xx, which can be represented by g (x) = 245+0.095xg (x) = 245+0.095x. Emma is paid $285 per week plus 7% of her total sales in dollars, xx, which can be represented by f (x) = 285+0.07xf (x) = 285+0.07x. Determine the value of xx, in dollars, that will make their weekly pay the same.

Question

Mathematics

Deborah Richard

3 March, 00:37

Khloe and Emma work at a furniture store. Khloe is paid $245 per week plus 9.5% of her total sales in dollars, xx, which can be represented by g (x) = 245+0.095xg (x) = 245+0.095x. Emma is paid $285 per week plus 7% of her total sales in dollars, xx, which can be represented by f (x) = 285+0.07xf (x) = 285+0.07x. Determine the value of xx, in dollars, that will make their weekly pay the same.

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Answers (1)

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Olive Decker · Answer 1

Answer: Their weekly pay would be the same if xx equals $1,600

Step-by-step explanation: The first and most important step is to identify what the question requires, and that is, what is the value of the unknown in the equation of their weekly incomes that would make their pay to be the same? Their weekly pay as per individual is given as follows;

Khloe = 245 + 0.095x - - - (1)

Emma = 285 + 0.07x - - - (2)

Simply put, we need to find the value of x when equation (1) equals equation (2)

245 + 0.095x = 285 + 0.07x

Collect like terms and we now have

0.095x - 0.07x = 285 - 245

0.025x = 40

Divide both sides of the equation by 0.025

x = 1600

Therefore their weekly pay would be at the same level, if x equals $1600