You need to buy 400 square feet of dirt for both companies to charge the same
Solution:
Given that,
Company A sells dirt for $137.5 for 50 square feet and has a delivery fee of $100 dollars
Dirt sold for $137.5 for 50 square feet
Let us find dirt sold for 1 square feet:
50 square feet = $ 137.5
1 square feet = [tex]\frac{137.5}{50} = 2.75[/tex]
Thus dirt sold for $2.75 for 1 square feet
Company A has a delivery fee of $ 100 dollars
Amount Charged by company A:
Let "x" be the amount of dirt bought for 1 square feet
A = 2.75(x) + 100
A = 2.75x + 100 --- eqn 1
Company B sells dirt for $15 for 5 square feet and offers free delivery
Dirt sold for $ 15 for 5 square feet
5 square feet = $ 15
1 square feet = [tex]\frac{15}{5} = 3[/tex]
Thus dirt sold for $ 3 for 1 square feet
Company B offers free delivery
Amount Charged by company B:
A = 3x ---- eqn 2
Let us equate eqn 1 and eqn 2 to find the dirt you need to buy for both companies to charge the same
2.75x + 100 = 3x
3x - 2.75x = 100
0.25x = 100
x = 400
Thus you need to buy 400 square feet of dirt for both companies to charge the same
