Question

Ida needs to hire a singer for her wedding. Singer A is offering his services for an initial $65 in addition to $13.15 per hour. Singer B is offering her services for an initial $73 in addition to $11.35 per hour. When will the two singers charge the same amount of money? If necessary, round your answer to the nearest tenth.

Answer 1

4.4 hours

Explanation:

Let the number of hours = x

Ida needs to hire a singer for her wedding.

For Singer A

Singer A is offering his services for an initial $65 in addition to $13.15 per hour.

65 + 13.15x

Singer B

Singer B is offering her services for an initial $73 in addition to $11.35 per hour.

73 + 11.35x

We equate both singers together

Singer A = Singer B

65 + 13.15x = 73 + 11.35x

We collect like terms

13.15x - 11.35x = 73 - 65

1.8x = 8

x = 8/1.8

x = 4.4444444444 hours

Approximately = 4.4 hours

The two singers will charge the same amount of money after 4.4 hours