Question

2. 60% of the students in Math 6 are currently mastering their math lessons. If 300 students are currently mastering their math lessons, how many students are in Math 6?

answer part A, part B and part C.

A. Joey thinks that 180. Do you agree with Joey? Why or why not?

B. What method do you think Joey used to arrive at his answer? Is it the right way to solve this?

C. Show the work for how to set up and solve the problem correctly. You may either use a percent equation, set up a table, or use a model.

Answer 1

A. No, I do not agree with Joey's answer. The correct answer is 300, which is larger than 180.

B. It appears that Joey used the percent equation incorrectly to figure out the answer. The percent equation should be used to calculate what percent of the whole a certain number is, not the other way around.

C. To set up and solve this problem correctly, we can use a percent equation. The equation is: (percent/100)*total = number. Plugging in our values, we get: (60/100)*x = 300. Solving for x, we get x=300, so there are 300 students in Math 6.

Answer 2

Answer and Step-by-step explanation:

A. To find out the total number of students in Math 6, we can use the proportion:

60/100 = 300/x

where x is the total number of students in Math 6. Solving for x, we get:

x = (100 * 300) / 60 = 500

Therefore, there are 500 students in Math 6. Joey's answer of 180 is incorrect.

B. Joey may have used a method of finding what 60% of a number is, and then divided the number of students who are mastering their math lessons by that amount. This would give him an incorrect answer, as he needs to find the total number of students in Math 6, not just a percentage of that number.

C. To correctly solve the problem, we can use the proportion:

60/100 = 300/x

where x is the total number of students in Math 6. Cross-multiplying, we get:

60x = 100 * 300

Solving for x, we get:

x = (100 * 300) / 60 = 500

Therefore, there are 500 students in Math 6.