Question

Iced tea, x, costs $4 per gallon and lemonade, y, costs $6 per gallon. You need to purchase at least 9 gallons of drinks for a neighborhood picnic, but have at most $55 to spend. Model the scenario with a system of inequalities. Which of the following options represents a possible solution to the system of inequalities?

(2,10)
(10, -5)
(10,1)
(10,10)

Answer 1

(10,1)

Explanation:

Answer 2

p + q ≥ 9 and 4p + 6q ≤ 55

(10,1)

Explanation:

Iced tea, x, costs $4 per gallon and lemonade, y, costs $6 per gallon.

Let us take p gallons of Iced tea and q gallons of lemonade.

Now, we need to purchase at least 9 gallons of drinks for a neighborhood picnic but have at most $55 to spend.

Therefore, the inequalities we can write from the above condition are

p + q ≥ 9 ....... (1)

and 4p + 6q ≤ 55 ........ (2)

Now both these two inequalities will be satisfied by the solution of (10,1) i.e. 10 gallons of iced tea and 1 gallon of lemonade. (Answer)