Ariana 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 of the following systems of inequalities correctly represents the constraints on the variables in this problem let s represent the sour snaps and t represent the chocolate truffles

The required system of inequalities is,

0.15s + 0.80t ≤ 4,

s ≥ 10, t ≥ 3

Step-by-step explanation:

Here, s represents the the number of sour snaps and t represent the number of chocolate truffles,

Since, she wants at least 10 sour snaps and at least 3 chocolate truffles,

⇒ s ≥ 10 and t ≥ 3,

Also, the cost of one sour snap = 15 cents = $ 0.15

⇒ The cost of s sour snap = 0.15s dollars,

Now, the cost of one chocolate truffle = 80 cents = $ 0.80,

⇒ The cost of t chocolate truffle = 0.80t dollars,

Thus, the total spending = (0.15s + 0.80t) dollars,

According to the question,

The total spending ≤ $ 4,

⇒ 0.15s + 0.80t ≤ 4

Hence, the required system of inequalities that correctly represents the constraints on the variables in this problem is,

0.15s + 0.80t ≤ 4,

s ≥ 10, t ≥ 3