This week we are asked to provide a word problem of an everyday life situation involving a system of linear equation, my problem is, say you're going to a small fair, the admission fee is $1.50 for children and $4.00 for adults, on a certain day, 2200 people enter the fair and $5,050 is collected. How many children and how many adults attended? So we know we must find the number of adults and children who attended and we know this is a system of linear equations due to the two unknowns.

First, we can let a= adults and c= children

Then we can create an equation based on the given variables, a+c=2,200 (children plus adults) Then for the total amount collected ($5.050), we can write this as 4a+1.5c=5050

We can then solve this equation by substitution and when we get our first answer for c we can plug c into a=2200-(c)=? to get the amount of a. ( solve this problem in elimination method)