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.
