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Ben Frank is an electrician who installs lighting fixtures. He charges his clients 
15 h+40 f dollars, where 
h is the number of hours worked and 
f is the number of fixtures installed. What is the amount, in dollars, Ben Frank charges when he works 7 hours and installs 9 fixtures?

Ben Frank is an electrician who installs lighting fixtures. He charges his clients 15h+40f 15 h+40 f dollars, where h h is the number of hours worked and f f is the number of fixtures installed. What is the amount, in dollars, Ben Frank charges when he works 77 hours and installs 99 fixtures?

Full solution

Q. Ben Frank is an electrician who installs lighting fixtures. He charges his clients 15h+40f 15 h+40 f dollars, where h h is the number of hours worked and f f is the number of fixtures installed. What is the amount, in dollars, Ben Frank charges when he works 77 hours and installs 99 fixtures?
  1. Identify Given Values: Identify the given values for the variables in the expression.\newlineBen Frank charges 15h+40f15h + 40f dollars, where hh is the number of hours worked and ff is the number of fixtures installed. We are given that h=7h = 7 (hours) and f=9f = 9 (fixtures).
  2. Substitute Given Values: Substitute the given values into the expression.\newlineThe expression for the charge is 15h+40f15h + 40f. We substitute hh with 77 and ff with 99.\newline15(7)+40(9)15(7) + 40(9)
  3. Perform Multiplication: Perform the multiplication for each term.\newlineCalculate 15×715 \times 7 and 40×940 \times 9.\newline15(7)=10515(7) = 105\newline40(9)=36040(9) = 360
  4. Add Results: Add the results of the multiplications to find the total charge.\newlineAdd 105105 and 360360 to get the total charge.\newline105+360=465105 + 360 = 465

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