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:
Q. 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:
Calculate Total Cost: First, we need to calculate the total cost of 7 hamburgers.The cost of one hamburger is $5.So, the cost of 7 hamburgers is 7×$5=$35.
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.Brody has $60 to spend.After buying 7 hamburgers, he has $60−$35=$25 left for tacos.
Determine Maximum Tacos: Now, we need to determine the maximum number of tacos Brody can buy with the remaining $25. The cost of one taco is $2.50. The maximum number of tacos he can buy is $25/$2.50=10 tacos.
Consider Minimum Items: We must also consider the minimum number of items Brody needs to buy, which is 14 items in total.He has already bought 7 hamburgers, so he needs to buy at least 14−7=7 more items.
Find Possible Taco Values: Since the maximum number of tacos he can buy is 10, and he needs to buy at least 7 more items, the possible values for the number of tacos he could buy are 7, 8, 9, or 10.