Scott and Julio each improved their yards grass sod and ivy. Scott spent $82 on 7 ft of grass sod and 8 pots of ivy. Julio spent $72 on 7 ft of grass sod and 6 pots of ivy. What is the cost of one ft of grass sod and the cost of one pot of ivy?

1 Answer
Jun 2, 2018

One ft of grass sod costs $6
One pot of ivy costs $5

Explanation:

Let's represent the grass sod and ivy as separate variables

Sod = x
Ivy = x

Now we can use Scott and Julio's information to create a system of equations.

#7x + 8y=82# <--- Scott
#7x+6y=72# <--- Julio

We can subtract our first equation from the second one to solve for y.

#7x + 8y=82#
#- (7x+6y=72)#

which results in

#7x + 8y=82#
#2y =10#
y = 5

Using back substitution we can plug our y-value into one of the equations to solve for x.

#7x+8(5)=82#
#7x+40=82#
#7x=42#
x = 6

Therefore, one ft of grass sod costs $6 and one pot of ivy costs $5