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Mrs. Conley asks her class what kind of party they want to have to celebrate their excellent behavior. Out of all the students in the class, 5 want an ice cream party, 7 want a movie party, 10 want a costume party, and the rest are undecided.
If 
20% want an ice cream party, how many students are in the class?
students

Mrs. Conley asks her class what kind of party they want to have to celebrate their excellent behavior. Out of all the students in the class, 55 want an ice cream party, 77 want a movie party, 1010 want a costume party, and the rest are undecided.\newlineIf 20% 20 \% want an ice cream party, how many students are in the class?\newlinestudents

Full solution

Q. Mrs. Conley asks her class what kind of party they want to have to celebrate their excellent behavior. Out of all the students in the class, 55 want an ice cream party, 77 want a movie party, 1010 want a costume party, and the rest are undecided.\newlineIf 20% 20 \% want an ice cream party, how many students are in the class?\newlinestudents
  1. Understand the problem: Understand the problem and what is given.\newlineWe know that 20%20\% of the students want an ice cream party and that 55 students have chosen this option.
  2. Convert percentage to decimal: Write 20%20\% as a decimal to use in calculations.20%=20100=0.2020\% = \frac{20}{100} = 0.20
  3. Set up equation for total students: Set up the equation to find the total number of students in the class.\newlineLet the total number of students be represented by 'xx'.\newlineAccording to the problem, 20%20\% of 'xx' is equal to 55 (since 55 students want an ice cream party).\newlineSo, we have 0.20×x=50.20 \times x = 5
  4. Solve for total students: Solve the equation for 'xx' to find the total number of students.\newlineDivide both sides of the equation by 0.200.20 to isolate 'xx'.\newlinex=50.20x = \frac{5}{0.20}\newlinex=25x = 25
  5. Verify the solution: Verify the solution.\newlineIf there are 2525 students in the class, then 20%20\% of 2525 should be equal to 55.\newline0.20×25=50.20 \times 25 = 5\newlineThis is true, so our solution is correct.