Please answer this system of equations question ASAP!
All the DJ's that Marie interviewed for the party charged a flat fee for supplies and then charged per hour. One DJ was going to charge $200 for travel and music and then $10 per hour. The other DJ was going to charge $150 and then $15 per hour. How many hours would both DJ's be the same price and what is that price?
Write a system of equations. (You don't have to solve)
Answers
Given : One DJ charge $200 for travel and music and then $10 per hour. The other DJ charge $150 and then $15 per hour.
To Find : How many hours would both DJ's be the same price and that price
Solution:
One DJ charge $200 for travel and music and then $10 per hour.
Total charges of DJ = 200 + 10T
T is number of hrs
The other DJ charge $150 and then $15 per hour.
Total charges of DJ = 150 + 15T
T is number of hrs
Equate both charges
150 + 15T = 200 + 10T
=> 5T = 50
=> T = 10
For 10 hrs both DJ's be the same price
Charges = 200 + 10T = 200 + 10(10) = 300 $
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Step-by-step explanation:
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