Question

At a​ party, the amount of people who ate lasagna was 17 less than 1/4

of the total number of people. The number of people who ate lasagna was 2. 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

The total number of people at the party is 76

Explanation:

Kindly check the attached files for more explanation.

Answer 2

x = 76

One-step equation: 8 = x - 68

Explanation:

If we call the number of people that ate lasagna 'y', we can write the following equation:

y = (1/4)*x - 17

Nowing that the number of people that ate lasagna is two, we have that y=2, so we can find the value of x:

2 = (1/4)*x - 17

x/4 = 19

x = 76 people

From the first equation (y = (1/4)*x - 17) we can write an one-step equation:

y = (1/4)*x - 17 -> 4*y = x - 68

To solve this equation after using the value of y, we just need to sum 68 in both sides:

x - 68 = 8

x = 76