Question

Monica is a professional musician who practices clarinet for the same amount of

time every day. After she practices clarinet for 45 min on Wednesday, she has
finished 18% of her daily clarinet practice. How many more minutes does Monica
practice clarinet on Wednesday? Show your work.

Answer 1

Monica has already practiced for 45 minutes, which is 18% of her total daily practice time. By calculating, we find that her daily practice time is 250 minutes, which means she needs to practice for 205 more minutes to complete her daily practice on Wednesday.

Step-by-step explanation:

To find out how much more time Monica practices clarinet on Wednesday, we need to calculate the total practice time based on the given 18% that represents the 45 minutes she has already practiced. Since 45 minutes is 18% of her daily practice, we can set up a proportion to solve for the total time (T) she practices each day.

First, we write the proportion as 18% of T equals 45 minutes:

0.18 × T = 45

Next, we solve for T:

T = 45 / 0.18

T = 250 minutes

Therefore, Monica's total daily clarinet practice time is 250 minutes. Now we subtract the 45 minutes she has already practiced from the total to find the remaining time:

250 minutes - 45 minutes = 205 minutes

Monica needs to practice 205 more minutes on Wednesday to complete her daily practice.

Answer 2

205 minutes

Step-by-step explanation:

If Monica has already practiced 18% of her time, we know that she has practiced
`(18)/(100)`. If this 18% corresponds to 45 min, we can have the following equation:
`(18)/(100) = (45)/(x)`. We can rearrange the equation to find the value of x by doing
`x = (45 \cdot 100)/(18) = 250`, so she practices 250 min every Wednesday. If we subtract the time she has already practiced (45 min) we find out she still has to practice more 205 min.