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Chapter 4: Problem 32

John is buying some burgers and fries for his friends. Burgers cost $$\$ 4.30$$ each and fries cost $$\$ 3.10$$ per order. There is no tax on the food. If he has $$\$ 50$$ and buys 6 orders of fries, what is the maximum number of burgers he can buy?

Short Answer

Expert verified
John can buy a maximum of 7 burgers for his friends.

Step by step solution

01

Find the total cost of fries.

To find the total cost of fries, we need to multiply the number of orders of fries (6) by the cost of each order, which is $3.10: \(6 * 3.10\).
02

Calculate the remaining amount of money.

Now, we need to subtract the total cost of the fries from the initial budget of $50. This will give us the remaining amount of money John can use to buy burgers.
03

Find the maximum number of burgers he can buy.

To find the maximum number of burgers John can buy, we need to divide the remaining amount of money by the cost of each burger, which is $4.30. Since John can only buy a whole number of burgers, we need to take the largest whole number quotient. Let's perform the calculations:
04

Step 1:

Total cost of fries = \(6 * 3.10 = \$ 18.60\)
05

Step 2:

Remaining amount of money = \(50 - \)18.60 = $31.40
06

Step 3:

Maximum number of burgers = \(\left\lfloor \frac{31.40}{4.30} \right\rfloor\) Dividing \(31.40 by \)4.30 gives approximately 7.30. Taking the largest whole number quotient (ignoring decimals), we get: Maximum number of burgers = 7 So, John can buy a maximum of 7 burgers for his friends.

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