Question

Ida needs to hire a singer for her wedding. Singer A is offering his services for an initial $95 in addition to $12.95 per hour. Singer B is offering her services for an initial $99 in addition to $11.85 per hour. When will the two singers charge the same amount of money? If necessary, round your answer to the nearest tenth.

Answer 1

The answer is 3.6

Explanation:

Step one:

Singer A is offering his services for an initial $95 in addition to $12.95 per hour

let the number of hours be x and the total charge be y

the expression for the total for singer A is

y=12.95x+95----------2

Singer B is offering her services for an initial $99 in addition to $11.85 per hour

let the number of hours be x and the total charge be y

the expression for the total for singer A is

y=11.85x+99----------2

Step two:

Equating 1 and 2 we have

12.95x+95=11.85x+99

collect liker terms

12.95x-11.85x=99-95

1.1x=4

divide both sides by 1.1

x= 4/1.1

x=3.63

to the nearest tenth it is 3.6