Question

Amelia and Keith need a wedding singer. Wedding singer A is

offering her services for an initial $50 in addition to $20 per
hour. Singer B is offering his services for an initial $100 in
addition to $10 per hour. When will the two singers charge
the same amount, and how much will it cost?

Answer 1

Wedding Singer A and Singer B will charge the same amount after 5 hours of service. At this point, they will both cost $150.

Step-by-step explanation:

To determine when Wedding Singer A and Singer B will charge the same amount and how much it will cost, we can set up an equation for each singer and find the point where their costs are equal.

Let's denote the number of hours they will sing as h.

• Wedding Singer A: The cost is $50 initially plus $20 per hour, so the total cost is: $50 + $20h.
• Singer B: The cost is $100 initially plus $10 per hour, so the total cost is: $100 + $10h.

We want to find the value of h where both costs are equal:

$50 + $20h = $100 + $10h

Subtract $10h from both sides:

$50 + $10h = $100

Subtract $50 from both sides:

$10h = $50

Divide both sides by $10:

h = 5 hours

So, they will charge the same amount after 5 hours and it will cost $150 at that point.