Answer:
The total number of burritos consumed is 68 and an equation to determine the total number of burritos consumed is [tex]\frac{1}{2}x+16=\frac{3}{4}x-1[/tex]
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=[tex]\frac{1}{2}x+16[/tex]
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 =[tex]\frac{3}{4}x-1[/tex]
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, [tex]\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[/tex]
Hence the total number of burritos consumed is 68 and an equation to determine the total number of burritos consumed is [tex]\frac{1}{2}x+16=\frac{3}{4}x-1[/tex]
