please help me.... A painting company charges $250 base plus $16 per hour. Another painting company charges $210 base plus $18 per hour. How long is a job for which the two companies costs are the same?
Answers
The required hours is 20 hours, where both companies cost the same.
Given that,
The painting company charges $250 base plus $16 per hour. Another painting company charges $210 base plus $18 per hour. How long is a job for which the two companies costs are the same is to be detrmined
What is the cost price?
Cost price is the price for the buyer pays to the seller for an object or product.
Here,
let the total cost for both the companies be y and the painting hour is x.
The painting company charges $250 base plus $16 per hour.
y = 250 + 16x - - - - - (1)
Another painting company charges $210 base plus $18 per hour.
y = 210 + 18x - - - -- - (2)
Solving equation 1 and equation 2.
250 + 16x = 210 + 18x
2x = 40
x = 20
Put this x in equation 1,
y = 250 + 16 * 20
y = 250 + 320
y = 570
Thus, the required hours is 20 hours, where both companies cost the same.
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Solving, we get 40 = 2x, x =20
The jobs has to be 20 hours long in order for their two painting jobs to be equally priced.
Hope this helped!
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Hope this helps