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

Answer:

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

b.  $8\%$

Step-by-step 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":

$115+1,565x=240.20\\\\1,565x=240.20-115\\\\x=\frac{125.2}{1,565}\\\\x=0.08$

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

$=0.08*100=8\%$