Why have two variables? Each function has a flat fee and an hourly rate. The only variable is the time. You want the time to be such that the two cost are equal.
Where did you get the 2? You're not multiplying by the number of service calls. Each service call has a flat fee and an hourly cost. You want the number of hours, x such that the service calls cost the same:
40 + 35x = 50 + 30x
URGENT Candice and Dino operate computer repair services. For a service call, candice charges 40 and dino charges 50, in addition, they each charge an hourly rate. Candice for 35/hr and Dino for 30/hr . One day their charges of two service calls were the same, what did they charge and how long do they work?
I let the two unknows be the time dino worked, and the time candice worked.
First equation:
35c+40(2)=30d+50(2)
BUT I DON'T KNOW WHAT THE SECOND EQUATION SHOULD BE! Please help!! It would be very much appreciated!
2 answers
For anyone still looking for the answer of Candice and Dino operates computer repair services. For a service call, Candice charges 40, and Dino charges 50. In addition, they each charge an hourly rate. Candice for 35/hr and Dino for 30/hr. One day their charges of two service calls were the same. What did they charge, and how long did they work?
LET Y REPRESENT CHARGE
LET X REPRESENT HOURS OF WORK
Candice = 35.00 per hour + 40.00 charge, the equation is Y= 35x+40
Dino = 30.00 per hour + 50.00 charge, the equation is Y=35x+50
So in order to find X the equations are as followed
Y=35X + 40
Y=30X + 50
SUBTRACT
5X - 10 (-1) Multiple into the opposite
5X + 10
DIVIDE BY 5
5X/5 = X and 10/5 = 2
X=2 They both worked for 2 hours
Now to find Y
Candice's equation is Y=35x+40
Dino's equation is Y=30x+50
And we know X=2
Y=35x+40
Y=35(2) + 40
Y= 70 + 40
Y= 110
CANDICE CHARGED 110.00 FOR 2 HOURS OF WORK
Y=30x+50
Y=30(2) + 50
Y=60 + 50
Y= 110.0
DINO CHARGED 110.00 FOR 2 HOURS OF WORK
They both charged 110.00
I'm just a Mom trying to relearn this math to help my son. It took me a while to figure it out, lol. I hope this will help someone who is struggling to understand. Good luck:)
LET Y REPRESENT CHARGE
LET X REPRESENT HOURS OF WORK
Candice = 35.00 per hour + 40.00 charge, the equation is Y= 35x+40
Dino = 30.00 per hour + 50.00 charge, the equation is Y=35x+50
So in order to find X the equations are as followed
Y=35X + 40
Y=30X + 50
SUBTRACT
5X - 10 (-1) Multiple into the opposite
5X + 10
DIVIDE BY 5
5X/5 = X and 10/5 = 2
X=2 They both worked for 2 hours
Now to find Y
Candice's equation is Y=35x+40
Dino's equation is Y=30x+50
And we know X=2
Y=35x+40
Y=35(2) + 40
Y= 70 + 40
Y= 110
CANDICE CHARGED 110.00 FOR 2 HOURS OF WORK
Y=30x+50
Y=30(2) + 50
Y=60 + 50
Y= 110.0
DINO CHARGED 110.00 FOR 2 HOURS OF WORK
They both charged 110.00
I'm just a Mom trying to relearn this math to help my son. It took me a while to figure it out, lol. I hope this will help someone who is struggling to understand. Good luck:)
1 answer