High School

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Out of 120 customers asked at a restaurant, 38 rounded their bill up to the next whole dollar and donated the difference to the local children's hospital. How many consecutive customers must round up their bill so that the percentage of people who donated increases to 50%?

A. 40 customers
B. 32 customers
C. 44 customers
D. 36 customers

Answer :

Let's break this problem down step by step.

1. Determine the current number of donators and customers:
- There are 120 customers.
- Out of these 120, 38 customers donated.

2. Identify the desired percentage of donators:
- We want the percentage of people who donated to reach 50%.

3. Calculate the number of donators needed to achieve the desired percentage:
- 50% of 120 customers is [tex]\( \frac{50}{100} \times 120 = 60 \)[/tex].
- Therefore, we need 60 donators for 50% of the customers to have donated.

4. Calculate the additional number of donators needed:
- Currently, there are 38 donators.
- To reach 60 donators, we need an additional [tex]\( 60 - 38 = 22 \)[/tex] donators.

So, the number of consecutive customers that must round up their bill to reach the desired percentage of 50% is 22.

The closest option to this calculation is not directly provided in the list you mentioned. However, since there is a clear calculated need for 22 additional customers to donate, none of the options seem to be completely correct based on the detailed mathematical explanation.

However, if recalibration of provided options were to be reconsidered or assumptions on a potential typo were involved, further correction or reevaluation might be warranted.

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