Problema Solution
Casey spent $92 on 81 ft^2 of grass sod and 6 geraniums.Jacob spent $88 on 8ft^ of grass and 4 geraniums. What is the cost of 1ft^2 of grass sod and the cost of one geranium
Answer provided by our tutors
let
x = the cost of 1 ft^2 grass sod
y = the cost of one geranimu
Casey spent $92 on 81 ft^2 of grass sod and 6 geraniums:
81x + 6y = 92
Jacob spent $88 on 8ft^ of grass and 4 geraniums:
8x + 4y = 88 divide both sides by 4
2x + y = 22
by solving the system of equations:
81x + 6y = 92
2x + y = 22
we find:
x = - 0.58
y = 23.16
click here to see the step by step solution of the system of equations:
since x is negative this means that Casey did not sped any money on the grass sod, on the contrary, he received 58 cents for each ft^2 of grass sod.
the cost of one geranium is $23.16.