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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 $\$ 6.50$ 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. $\newline$ Answer:

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GCF and LCM: word problems

Full solution

Q. 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.

\newline

Answer:

Calculate Total Cost: Calculate the total cost of $10$ tacos. $\newline$ Since each taco costs $\$4$ , we multiply the number of tacos by the price per taco. $\newline$ $10$ tacos $\times$ $\$4$ /taco = $\$40$
Subtract Cost of Tacos: Subtract the cost of the tacos from the total amount Fawzia has to spend. $\newline$ Fawzia has $\$80$ to spend, and she has already decided to spend $\$40$ on tacos. $\newline$ $\$80 - \$40 = \$40$ remaining for hamburgers.
Calculate Maximum Hamburgers: Calculate the maximum number of hamburgers Fawzia can buy with the remaining money. $\newline$ Since each hamburger costs $\$6.50$ , we divide the remaining money by the price per hamburger. $\newline$ $\$40 / \$6.50/\text{hamburger} \approx 6.15$ $\newline$ Fawzia can only buy whole hamburgers, so she can buy a maximum of $6$ hamburgers.
Check Total Food Items: Check if the total number of food items meets the minimum requirement. $\newline$ Fawzia has bought $10$ tacos and can buy $6$ hamburgers, which totals to: $\newline$ $10$ tacos + $6$ hamburgers = $16$ items $\newline$ This meets the minimum requirement of buying at least $15$ hamburgers and tacos altogether.

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