Answer:
A.) Cheaper Fertilizer is Quick Fertilizer
B.) The cheaper fertilizer now cost $ 61
Explanation:
The exact question is as follows :
Given - Daija is looking to fertilize her 24,000 square foot lawn. Super Lawn fertilizer costs $18.49 and covers 6,000 square feet. Quick Fertilizer costs $23.99 and covers 8,000 square feet.
To find - A.) Which fertilizer would be cheaper for Daija to purchase to fertilize her entire lawn?-Show your work or explain your answer.
B.) Daija has a 15% off coupon on the cheaper fertilizer. Excluding sales tax, what is the new cost of the fertilizer? Round to the nearest cent.
Proof -
A.)
Given that,
Total lawn that have to be fertilize = 24,000
Now,
Super Lawn fertilizer costs $18.49 and covers 6,000 square feet.
i.e.
6000 square feet = $ 18.49
⇒4×6000 square feet = $ 4×18.49
⇒24000 square feet = $ 73.96
∴ we get
Super Lawn costs $ 73.96
Now,
Quick Fertilizer costs $23.99 and covers 8,000 square feet.
i.e.
8000 square feet = $ 23.99
⇒3×8000 square feet = $ 3×23.99
⇒24000 square feet = $ 71.97
∴ we get
Quick Fertilizer costs $ 71.97
As we get
Super Lawn costs $ 73.96
Quick Fertilizer costs $ 71.97
As $ 71.97 < $ 73.96
So,
Cheaper Fertilizer is Quick Fertilizer
B.)
As we get from part a) that
Quick Fertilizer is cheaper and it costs $ 71.97
So,
15% of 71.97 = 10.7955
∴ we get
Now,
Quick fertilizer cost = $ 71.97 - 10.7955
= $ 61.1745 ≈ $ 61
So,
After applying the 15% coupon,
The cheaper fertilizer now cost $ 61