Final answer:
The cost of 1 ft.² of grass sod is $11, and the cost of one pot of ivy is $8.
Step-by-step explanation:
To find the cost of 1 ft.² of grass sod and the cost of one pot of ivy, we can set up a system of equations using the given information. Let x be the cost of 1 ft.² of grass sod and y be the cost of one pot of ivy. From the information provided, we can set up the following equations:
Joe spent $107 on 1 ft.² of grass sod and 12 pots of ivy:
x + 12y = 107 (equation 1)
Beth spent $59 on 1 ft.² of grass sod and 6 pots of ivy:
x + 6y = 59 (equation 2)
We can solve this system of equations using substitution or elimination to find the values of x and y.
Subtracting equation 2 from equation 1, we eliminate x:
(x + 12y) - (x + 6y) = 107 - 59
6y = 48
y = 8
Substituting the value of y into equation 2, we can find x:
x + 6(8) = 59
x + 48 = 59
x = 11
Therefore, the cost of 1 ft.² of grass sod is $11, and the cost of one pot of ivy is $8.