Question

The number of burritos Delainy ate on Tuesday is the same as the number of burritos Louie ate on Wednesday. On Tuesday, Delainey ate 16 more than 1/2 the total number of burritos consumed. On Wednesday, Louie ate 1 less than 3/4 of the total number of burritos consumed. Write an equation to determine the total number of burritos consumed. Hint: let x = # burritos consumed.

Answer 1

Answer:

The total number of burritos consumed is 68 and an equation to determine the total number of burritos consumed is $\frac{1}{2}x+16=\frac{3}{4}x-1$

Step-by-step explanation:

Let x be the total number of burritos consumed

We are given that On Tuesday, Delainey ate 16 more than 1/2 the total number of burritos consumed

So, Number of burritos ate by Delainey on Tuesday=$\frac{1}{2}x+16$

We are also given that  Louie ate 1 less than 3/4 of the total number of burritos consumed.

So, Number of burritos ate by Louie on Wednesday =$\frac{3}{4}x-1$

We are given that The number of burritos Delainy ate on Tuesday is the same as the number of burritos Louie ate on Wednesday.

So, $\frac{1}{2}x+16=\frac{3}{4}x-1\\1+16=\frac{3}{4}x-\frac{1}{2}x\\17=\frac{x}{4}\\68=x$

Hence  the total number of burritos consumed is 68 and an equation to determine the total number of burritos consumed is $\frac{1}{2}x+16=\frac{3}{4}x-1$