Question

At a​ party, the amount of people who ate chicken wings was 14 less than

3
5 of the total number of people. The number of people who ate chicken wings was 34. Write and solve an equation to find the number of people at the party. Let x represent the number of people at the party. Use pencil and paper. Write a​ one-step equation that has the same solution.

Answer 1

Answer: 80

Step-by-step explanation: Let x be the total number of people at the party.

According to the problem, the number of people who ate chicken wings was 14 less than 3/5 of the total number of people, so we can write:

34 = (3/5)x - 14

To solve for x, we can first add 14 to both sides of the equation:

34 + 14 = (3/5)x

48 = (3/5)x

Then we can multiply both sides by 5/3:

(5/3) * 48 = x

80 = x

Therefore, the number of people at the party was 80.

To write a one-step equation with the same solution, we can simply write:

x = 80

This is a one-step equation because the solution is obtained in just one step by assigning the value 80 to the variable x.