Question

A sale person's daily earnings include $115 per day plus commission equal to x percent (in decimal form) of his daily sales. a. Write an equation that can be used to find the commision percentage (x), if the salesperson's daily sales are $1565 and his total earnings for hat day are $240.20. b. What percent is the salesperson's commision?

Answer 1

a.
`115+1,565x=240.20`

b.
`8\%`

Explanation:

a. According to the information given in the exercise, you know that the sale person's daily earnings is the sum of $115 plus a commission of his daily sales.

Therefore, if his daily sales are $1,565, then his comission is given by:

`1,565x`

Knowing that his total earnings for that day are $240.20, you can write the following equation which can be used to find "x":

`115+1,565x=240.20`

b. In order to find the commision percent (in decimal form) of the sale person's daily sales, you must solve for "x":

`115+1,565x=240.20\\\\1,565x=240.20-115\\\\x=(125.2)/(1,565)\\\\x=0.08`

Multiplying it by 100, you get it in percent form:

`=0.08*100=8\%`