Respuesta :
15s+80t is less than or equal to 400
15s shows that each sour snap costs 15 cents, 80t shows that each truffle costs 80 cents, and she only has 4 dollars, or 400 cents, so it's less than or equal to.
s is greater than or equal to 10
She wants at least 10
t is greater than or equal to 3
She wants at least 3
15s shows that each sour snap costs 15 cents, 80t shows that each truffle costs 80 cents, and she only has 4 dollars, or 400 cents, so it's less than or equal to.
s is greater than or equal to 10
She wants at least 10
t is greater than or equal to 3
She wants at least 3
Answer: 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
