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Madelyn and her children went into a restaurant where they sell hamburgers for 
$6 each and tacos for 
$4 each. Madelyn has 
$60 to spend and must buy a minimum of 12 hamburgers and tacos altogether. If Madelyn decided to buy 4 hamburgers, determine the maximum number of tacos that she could buy.
Answer:

Madelyn and her children went into a restaurant where they sell hamburgers for $6 \$ 6 each and tacos for $4 \$ 4 each. Madelyn has $60 \$ 60 to spend and must buy a minimum of 1212 hamburgers and tacos altogether. If Madelyn decided to buy 44 hamburgers, determine the maximum number of tacos that she could buy.\newlineAnswer:

Full solution

Q. Madelyn and her children went into a restaurant where they sell hamburgers for $6 \$ 6 each and tacos for $4 \$ 4 each. Madelyn has $60 \$ 60 to spend and must buy a minimum of 1212 hamburgers and tacos altogether. If Madelyn decided to buy 44 hamburgers, determine the maximum number of tacos that she could buy.\newlineAnswer:
  1. Calculate Total Cost: First, we need to calculate the total cost of 44 hamburgers.\newlineThe cost of one hamburger is $6\$6.\newlineSo, the cost of 44 hamburgers is 4×$6=$244 \times \$6 = \$24.
  2. Subtract Cost from Total Amount: Next, we subtract the cost of the hamburgers from the total amount Madelyn has to spend.\newlineMadelyn has $60\$60 to spend.\newlineAfter buying 44 hamburgers, she has $60$24=$36\$60 - \$24 = \$36 left to spend on tacos.
  3. Determine Maximum Tacos: Now, we need to determine how many tacos Madelyn can buy with the remaining $36\$36. The cost of one taco is $4\$4. So, the maximum number of tacos she can buy is $36/$4=9\$36 / \$4 = 9 tacos.
  4. Check Total Number of Items: We must check if the total number of items (hamburgers and tacos) meets the minimum requirement of 1212 items.\newlineMadelyn bought 44 hamburgers and can buy up to 99 tacos, which totals 4+9=134 + 9 = 13 items.
  5. Calculate Maximum Tacos: Since Madelyn can buy 99 tacos and still meet the minimum requirement of 1212 items, the maximum number of tacos she can buy is 99.

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