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 the bills so that the percentage of people who donated increases to 50%?

A. 44 customers

B. 40 customers

C. 36 customers

D. 32 customers

Respuesta :

Using proportions, it is found that 44 consecutive customers must round up the bills so that the percentage of people who donated increases to 50%, so option A is correct.

A proportion is the number of desired outcomes divided by the number of total outcomes.

Considering that 38 out of 120 customers rounded their bill up, with x customers added, the proportion will be of 38 + x out of 120 + x.

The desired proportion is 0.5, hence:

[tex]\frac{38 + x}{120 + x} = 0.5[/tex]

[tex]38 + x = 60 + 0.5x[/tex]

[tex]0.5x = 22[/tex]

[tex]x = \frac{22}{0.5}[/tex]

[tex]x = 44[/tex]

44 customers, so option A.

A similar problem is given at https://brainly.com/question/20571459