Answer:
Equation: 810= (90 + 24y)
y = 30 hours
Step-by-step explanation:
Given:
Site visit = $45 per site
cost per hour worked = $24
for <u>each </u>work site, the total amount of money earned
= site visit fee + cost for working
But the question mentions TWO sites, hence there will be two site visits. Therefore for TWO sites, we have to account for TWO site visit fee.
Therefore for TWO sites, the total amount of money earned
= site 1 visit fee + site 2 visit fee + cost for working
= (2 x site visit fee) + cost for working ------ Equation 1
We are further given that we worked y hours at the hourly work rate of $24 per hour.
Hence the cost for working
= y hours x hourly rate
= y x $24
= $24y (substituting this into equation 1 above)
for TWO sites, the total amount of money earned
= (2 x site visit fee) + cost for working
= (2 x $45) + $24y
= $90 + $24y
= $(90 + 24y)
We are also given that we have to earn $810 for two sites, hence
810 = 90 + 24y
810 - 90 = 24y
24y = 720
y = 720/24
y = 30 hours
