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.