Question

Teresa earns a weekly salary of $925 and a 5% commission on her total sales. Ramon earns a weekly salary of $1250 and a 3% commission on sales. What amount of sales, x, will result in each of them earning the same amount for the week

Answer 1

`T = R`

`925 +0.05 x = 1250 +0.03 x`

Subtracting 0.03x from both sides we got:

`925 +0.02 x = 1250`

And now subtracting 925 from both sides we got:

`0.02 x = 325`

And dividing by 0.02 both sides we got:

`x = 16250`

So then we need a total 16250 for the amount of sales in order to have the same amount for Ramon and Teresa at the end of the week

Explanation:

For this case we can assume that the total salary for Teresa T is given by:

`T = 925 + 0.05 x`

Where x represent the amount of sales. And similarly for the total salary of Ramon we have:

`R = 1250 +0.03 x`

We want to find what 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`

`925 +0.05 x = 1250 +0.03 x`

Subtracting 0.03x from both sides we got:

`925 +0.02 x = 1250`

And now subtracting 925 from both sides we got:

`0.02 x = 325`

And dividing by 0.02 both sides we got:

`x = 16250`

So then we need a total 16250 for the amount of sales in order to have the same amount for Ramon and Teresa at the end of the week