Arianna has $4 to spend at the candy shop she wants at least 10 sour snaps which are 15 cents each and at least 3 chocolate truffles which are 80 cents each. Which system of inequalities correctly represents the sour snaps and t represent the chocolate truffles.
We are given the following information: Arianna has $4 or 400 cents to spend. Also, Arianna wants (b) at least 10 snaps at 15 cents per snap, (c) at least 3 ruffles at 80 cents each.
Let x = the actual number of snaps purchased. Let y = the actual number of ruffles purchased.
In order to have at least 10 snaps and 3 ruffles, x + y ≥ 10 + 3 Therefore x + y ≥ 13 (1)
In order to spend no more than 400 cents ($4), 15x + 80y ≤ 400 (2)
The two relations (1) and (2) represent the system of inequalities that should be satisfied.
Answer: x + y ≥ 13 15x + 80y ≤ 400 where x = number of snaps, y = number of truffles.
