Marina volunteers at the Salvation Army. She has been tasked with buying nonperishable items for families that were displaced by a recent flood. She finds a company willing to sell her cans of food at a discounted price of $2.25 for a small can and $4.75 for a large can. She spent a total of $714.75 and bought 181 cans. Let x represent the number of small cans she purchased and y represent the number of large cans she purchased. 1) Write a system of equations for the situation

A) 2.25x+4.75y=1812.25x+4.75y=181

B) x+y=181x+y=181

C) x+y=714.75x+y=714.75

D) 2.25x+4.75y=714.752.25x+4.75y=714.7 5

2) Based on this context, are there any constraints on the variables that we should consider?

A) non-negative integers greater than 2.25 and less than 4.75

B) non-negative integers greater than 0 and less than 181

C) no constraints are needed on the variables.

D) integers greater than 0

3) Solve the system. How many small and large cans did Marina purchase?

Marina purchased small cans and large cans.