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Brody and his children went into a restaurant where they sell hamburgers for 
$5 each and tacos for 
$2.50 each. Brody has 
$60 to spend and must buy no less than 14 hamburgers and tacos altogether. If Brody decided to buy 7 hamburgers, determine all possible values for the number of tacos that he could buy.
Answer:

Brody and his children went into a restaurant where they sell hamburgers for $5 \$ 5 each and tacos for $2.50 \$ 2.50 each. Brody has $60 \$ 60 to spend and must buy no less than 1414 hamburgers and tacos altogether. If Brody decided to buy 77 hamburgers, determine all possible values for the number of tacos that he could buy.\newlineAnswer:

Full solution

Q. Brody and his children went into a restaurant where they sell hamburgers for $5 \$ 5 each and tacos for $2.50 \$ 2.50 each. Brody has $60 \$ 60 to spend and must buy no less than 1414 hamburgers and tacos altogether. If Brody decided to buy 77 hamburgers, determine all possible values for the number of tacos that he could buy.\newlineAnswer:
  1. Calculate Total Cost: First, we need to calculate the total cost of 77 hamburgers.\newlineThe cost of one hamburger is $5\$5.\newlineSo, the cost of 77 hamburgers is 7×$5=$357 \times \$5 = \$35.
  2. Subtract from Budget: Next, we need to subtract the cost of the hamburgers from Brody's total budget to find out how much money is left for tacos.\newlineBrody has $60\$60 to spend.\newlineAfter buying 77 hamburgers, he has $60$35=$25\$60 - \$35 = \$25 left for tacos.
  3. Determine Maximum Tacos: Now, we need to determine the maximum number of tacos Brody can buy with the remaining $25\$25. The cost of one taco is $2.50\$2.50. The maximum number of tacos he can buy is $25/$2.50=10\$25 / \$2.50 = 10 tacos.
  4. Consider Minimum Items: We must also consider the minimum number of items Brody needs to buy, which is 1414 items in total.\newlineHe has already bought 77 hamburgers, so he needs to buy at least 147=714 - 7 = 7 more items.
  5. Find Possible Taco Values: Since the maximum number of tacos he can buy is 1010, and he needs to buy at least 77 more items, the possible values for the number of tacos he could buy are 77, 88, 99, or 1010.

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