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Fawzia and her children went into a restaurant where they sell hamburgers for 
$6.50 each and tacos for 
$4 each. Fawzia has 
$80 to spend and must buy a minimum of 15 hamburgers and tacos altogether. If Fawzia decided to buy 10 tacos, determine the maximum number of hamburgers that she could buy.
Answer:

Fawzia and her children went into a restaurant where they sell hamburgers for $6.50 \$ 6.50 each and tacos for $4 \$ 4 each. Fawzia has $80 \$ 80 to spend and must buy a minimum of 1515 hamburgers and tacos altogether. If Fawzia decided to buy 1010 tacos, determine the maximum number of hamburgers that she could buy.\newlineAnswer:

Full solution

Q. Fawzia and her children went into a restaurant where they sell hamburgers for $6.50 \$ 6.50 each and tacos for $4 \$ 4 each. Fawzia has $80 \$ 80 to spend and must buy a minimum of 1515 hamburgers and tacos altogether. If Fawzia decided to buy 1010 tacos, determine the maximum number of hamburgers that she could buy.\newlineAnswer:
  1. Calculate Total Cost: Calculate the total cost of 1010 tacos.\newlineSince each taco costs $4\$4, we multiply the number of tacos by the price per taco.\newline1010 tacos ×\times $4\$4/taco = $40\$40
  2. Subtract Cost of Tacos: Subtract the cost of the tacos from the total amount Fawzia has to spend.\newlineFawzia has $80\$80 to spend, and she has already decided to spend $40\$40 on tacos.\newline$80$40=$40\$80 - \$40 = \$40 remaining for hamburgers.
  3. Calculate Maximum Hamburgers: Calculate the maximum number of hamburgers Fawzia can buy with the remaining money.\newlineSince each hamburger costs $6.50\$6.50, we divide the remaining money by the price per hamburger.\newline$40/$6.50/hamburger6.15\$40 / \$6.50/\text{hamburger} \approx 6.15\newlineFawzia can only buy whole hamburgers, so she can buy a maximum of 66 hamburgers.
  4. Check Total Food Items: Check if the total number of food items meets the minimum requirement.\newlineFawzia has bought 1010 tacos and can buy 66 hamburgers, which totals to:\newline1010 tacos + 66 hamburgers = 1616 items\newlineThis meets the minimum requirement of buying at least 1515 hamburgers and tacos altogether.

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