Question

Teresa earns a weekly salary of $825 and a 6% commission on her total sales.
Ramón earns a weekly salary of $1,350 and a 2% commission on sales. What
amount of sales, x, will result in each of them earning the same amount for the
week?

Answer 1

To estimate the amount of sales, x, will result in each of them earning the same amount for the week and we can set up the following equation:

T = R

825 + 0.06x = 1350 + 0.02x

Simplifying the equation, we get

x = 13125

We require a total of 13125 for the number of sales to maintain the same amount for Ramon and Teresa at the end of the week.

How to estimate the number of sales, x, that will result in each of them gaining the exact amount for the week?

For this case, we can assume that the total salary for Teresa T is given by T = 825 + 0.06x

Where x represents the number of sales. And similarly the total salary of Ramon we have:

R = 1350 + 0.02x

We want to estimate the amount of sales, x, will result in each of them earning the same amount for the week and we can set up the following equation:

T= R

825 + 0.06x = 1350 + 0.02x

Multiply both sides by 100

$825 \cdot 100+0.06 x \cdot 100=1350 \cdot 100+0.02 x \cdot 100$

82500 + 6x = 135000 + 2 x

Subtract 82500 from both sides

82500 + 6x - 82500 = 135000 + 2x - 82500

6x = 2x + 52500

Subtract 2x from both sides

6x - 2x = 2x + 52500 - 2x

4x = 52500

Divide both sides by 4

$\frac{4 x}{4}=\frac{52500}{4}$

x = 13125

So then we require a total of 13125 for the number of sales to maintain the same amount for Ramon and Teresa at the end of the week.

To learn more about the value of x refer to:

https://brainly.com/question/16568278

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