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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 $\$ 6$ 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. $\newline$ Answer:

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GCF and LCM: word problems

Full solution

Q. 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.

\newline

Answer:

Calculate Total Cost: First, we need to calculate the total cost of $4$ hamburgers. $\newline$ The cost of one hamburger is $\$6$ . $\newline$ So, the cost of $4$ hamburgers is $4 \times \$6 = \$24$ .
Subtract Cost from Total Amount: Next, we subtract the cost of the hamburgers from the total amount Madelyn has to spend. $\newline$ Madelyn has $\$60$ to spend. $\newline$ After buying $4$ hamburgers, she has $\$60 - \$24 = \$36$ left to spend on tacos.
Determine Maximum Tacos: Now, we need to determine how many tacos Madelyn can buy with the remaining $\$36$ . The cost of one taco is $\$4$ . So, the maximum number of tacos she can buy is $\$36 / \$4 = 9$ tacos.
Check Total Number of Items: We must check if the total number of items (hamburgers and tacos) meets the minimum requirement of $12$ items. $\newline$ Madelyn bought $4$ hamburgers and can buy up to $9$ tacos, which totals $4 + 9 = 13$ items.
Calculate Maximum Tacos: Since Madelyn can buy $9$ tacos and still meet the minimum requirement of $12$ items, the maximum number of tacos she can buy is $9$ .

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