Aracely can spend up to a total of on streamers and balloons for a party. Streamers cost per pack, and balloons cost per pack. Which of the following inequalities represents this situation, where is the number of packs of streamers Aracely can buy, and is the number of pack of balloons Aracely can buy? (Assume there is no sales tax.)

The correct answer is:

In mathematics, an Inequality is a statement wherein the relationship between 2 numbers or expressions is not equal i.e. either of the following- greater than, greater than or equal to, less than, less than or equal to.
Step-by-step solution:-
We are given that-
i. 's' is the number of packs of streamers Aracely can buy
Cost per pack of Streamers = $ 1.49
∴ Total cost of Streamers = $ 1.49 × s ----------------- (equation i)
ii. 'b' is the number of pack of balloons Aracely can buy
Cost per pack of Balloons = $ 4.39
∴ Total cost of Balloons = $ 4.39 × b. -------------------------- (equation ii)
iii. Total Amount spent = Cost of Streamers + Cost of Balloons
∴ Total Amount spent = $ 1.49 × s + $ 4.39 × b -------------------------- .(from equations i & ii)
∴ Total Amount spent = $ 1.49 × s + $ 4.39 × b -------------------------- (equation iii)
Now, we know that Total Amount Aracely can spend on Streamers & Balloons = $ 20
This means that Aracely has $ 20 budget and cannot spend more i.e. Aracely can spend either $ 20 or less.
∴Total Amount spent by Aracely <= $ 20
∴Total Amount spent by Aracely <= $ 20
∴ $ 1.49 × s + $ 4.39 × b <= $ 20 -------------------------- (from equation iii)
Final Answer:-
Option B i.e. 1.49s + 4.39b <= 20 is the correct Option.