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Eric owns and operates the Hot Ham food truck. The expression 
3.25 b+2h gives the cost, in dollars, of 
b burgers and 
h hot dogs. What is the cost, in dollars, of 4 burgers and 6 hot dogs?

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Eric owns and operates the Hot Ham food truck. The expression 3.25b+2h 3.25 b+2 h gives the cost, in dollars, of b b burgers and h h hot dogs. What is the cost, in dollars, of 44 burgers and 66 hot dogs?\newline \square

Full solution

Q. Eric owns and operates the Hot Ham food truck. The expression 3.25b+2h 3.25 b+2 h gives the cost, in dollars, of b b burgers and h h hot dogs. What is the cost, in dollars, of 44 burgers and 66 hot dogs?\newline \square
  1. Identify Cost and Quantity: Identify the cost per item and the number of items to be purchased.\newlineEric's food truck charges $3.25\$3.25 for each burger bb and $2\$2 for each hot dog hh. We need to calculate the total cost for 44 burgers and 66 hot dogs.
  2. Calculate Burger Cost: Use the given expression to calculate the cost of the burgers.\newlineThe expression for the cost of burgers is 3.25b3.25b, where bb is the number of burgers. For 44 burgers, we substitute bb with 44 and calculate:\newlineCost of burgers = 3.25×43.25 \times 4
  3. Calculate Burger Total: Perform the calculation for the cost of burgers.\newlineCost of burgers = 3.25×4=$(13.00)3.25 \times 4 = \$(13.00)
  4. Calculate Hot Dog Cost: Use the given expression to calculate the cost of the hot dogs.\newlineThe expression for the cost of hot dogs is 2h2h, where hh is the number of hot dogs. For 66 hot dogs, we substitute hh with 66 and calculate:\newlineCost of hot dogs = 2×62 \times 6
  5. Calculate Hot Dog Total: Perform the calculation for the cost of hot dogs.\newlineCost of hot dogs = 2×6=$(12.00)2 \times 6 = \$(12.00)
  6. Calculate Total Cost: Add the cost of burgers and hot dogs to find the total cost.\newlineTotal cost = Cost of burgers + Cost of hot dogs\newlineTotal cost = $13.00\$13.00 + $12.00\$12.00
  7. Final Calculation: Perform the final calculation to find the total cost.\newlineTotal cost = $13.00\$13.00 + $12.00\$12.00 = $25.00\$25.00

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