Ida needs to hire a singer for her wedding. Singer A is offering his services for an initial $80 in addition to $13.35 per hour. Singer B is offering her services for an initial $86 in addition to 11.65 per hour. When will the two singers charge the same amount for money?

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Answer:

The two singers will charge the same amount for money at 3.53 hours

Step-by-step explanation:

Let the number of hours be represented by y

Ida needs to hire a singer for her wedding.

Singer A is offering his services for an initial $80 in addition to $13.35 per hour.

= $80 + $13.35(y)

= 80 + 13.35y

Singer B is offering her services for an initial $86 in addition to 11.65 per hour.

= $86 + $11.65 × y

= 86+ 11.65y

When will the two singers charge the same amount for money?

Singer A = Singer B

80 + 13.35y = 86+ 11.65y

Collect like terms

= 13.35y - 11.65y = 86 - 80

1.7y = 6

y = 6/1.7

y = 3.5294117647 hours

Approximately = 3.53 hours

The two singers will charge the same amount for money at 3.53 hours

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