Question

If Judy has 38 ounces of cheese and each guest is estimated to have 27 ounces with an additional 6 ounces available per guest, which expression determines the number of guests Judy can invite?

A) 30−4+6
B) 8−6−24
C) −6
D) 38−6−23

Answer 1

Expression that determines the number of guests Judy can invite is 38−6−23. This expression accounts for the initial 38 ounces of cheese, subtracts the additional 6 ounces available per guest, and further subtracts the estimated 27 ounces each guest is expected to consume. The result, 32 ounces, represents the cheese available for guests. Thus the correct option is D. 38−6−23.

Step-by-step explanation:

To find the expression that represents the number of guests Judy can invite, we need to consider the total amount of cheese Judy has and the amount each guest is estimated to consume, including the additional 6 ounces per guest.

Let's break down the expression **38−6−23**:

1. 38: This represents the initial amount of cheese Judy has.

2. −6: This accounts for the additional 6 ounces available per guest, acting as a deduction for each guest.

3. −23: This accounts for the estimated 27 ounces each guest is expected to consume.

Now, let's perform the calculations:

`\[38 - 6 - 23 = 32\]`

The result,
`\(32\)`, represents the remaining ounces of cheese after accounting for both the initial amount and the estimated consumption. In this context,
`\(32\)` ounces is the amount of cheese available for guests. To find the number of guests Judy can invite, we divide the remaining ounces by the additional amount each guest is estimated to consume:

`\[32/ 6 = 5(2)/(6)\]`

So, Judy can invite approximately
`\(5\)` guests with the given amount of cheese. The expression
`\(38-6-23\)` accurately represents this calculation, making it the correct answer.

Thus the correct option is D. 38−6−23.