Problema Solution
Heather and Adam each improved their yards by planting grass sod and geraniums. They bought their supplies from the same store. Heather spent $180 on 12ft^2 of grass sod and 12 geraniums. Adam spent $104 on 8ft^2 of grass sod and 6 geraniums. Find the cost of one ft^2 of grass sod and the cost of one geranium.
Answer provided by our tutors
let
s = the cost of one ft^2 of grass sod
g = the cost of of one geranium
Heather spent $180 on 12ft^2 of grass sod and 12 geraniums:
12s + 12g = 180 divide both sides by 12
s + g = 15
Adam spent $104 on 8ft^2 of grass sod and 6 geraniums:
8s + 6g = 104 divide both sides by 2
4s + 3g = 52
by solving the system of equations:
s + g = 15
4s + 3g = 52
we find
s = $7
g = $8
click here to see the step by step solution of the system of equations
the cost of 1 ft^2 pf grass sod is $7.
the cost of 1 geranium is $8.