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Mark and Heather Starr have a budget of $2,000 for their reception, including a $50 cleanup fee and $38 per person. What is the greatest number of people they can invite while staying within their budget?

A) 49
B) 50
C) 51
D) 52

User JMK
by
8.2k points

1 Answer

7 votes

Final answer:

To stay within the $2,000 budget for Mark and Heather Starr's reception, we subtract the $50 cleanup fee and divide the remaining $1,950 by $38 per person. Rounding down, the greatest number of people they can invite is 51.

Step-by-step explanation:

The student has asked about the maximum number of people that can be invited to a reception given a budget constraint. This is a mathematics problem involving basic arithmetic, specifically budget allocation. To stay within their budget of $2,000, we must subtract the flat cleanup fee from the total budget and then divide the remaining amount by the cost per person. The cleanup fee is $50, so:

Total budget for guests = Total budget - Cleanup fee
Total budget for guests = $2,000 - $50
Total budget for guests = $1,950

Next, we divide the remaining budget for guests by the cost per person, which is $38:

Number of people = Total budget for guests / Cost per person
Number of people = $1,950 / $38
Number of people = 51.3158...

Since you cannot invite a fraction of a person, we round down to the nearest whole number, which means the greatest number of people they can invite is 51. So, the answer is C) 51.

User Quack
by
8.7k points
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