Explain the Error Fifteen students in the band play clarinet. These 15 students make up 12% of the band. Your friend used the proportion 12/100 =?/15 to find the number of students in the band. Explain why your friend is incorrect and use the grid to find the correct answer

Step-by-step explanation:

Let the total number of students in the band be x:

If 15 students make up 12% of the band, this is expressed as:

12% of x = 15

12/100 * x = 15

12x/100 = 15

12/100 = 15/x

cross multiply

12 * x = 15 * 100

12x = 1500

x = 1500/12

x = 125

Hence the total number of student in the band is 125 students

Comparing the evaluated expression 12/100 = 15/x with 12/100 =?/15 according to my friend, he used x/15 at the right hand side of the equation instead of 15/x as used in the calculation. That was where he made an error.

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!