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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 $\$ 5$ 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. $\newline$ Answer:

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GCF and LCM: word problems

Full solution

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.

\newline

Answer:

Calculate Total Cost: First, we need to calculate the total cost of $7$ hamburgers. $\newline$ The cost of one hamburger is $\$5$ . $\newline$ So, the cost of $7$ hamburgers is $7 \times \$5 = \$35$ .
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. $\newline$ Brody has $\$60$ to spend. $\newline$ 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. $\newline$ 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 $10$ .

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