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Josie and bath each improved their yards by planting grass sod an IV they bought their supplies from the same store Joe spent $107 on 1 ft.² of grass sod and 12 parts of ivy beth spent $59 on 1 ft.² of grass sod and six parts of ivy find the cost of 1 ft.² of grass sod and the cost of one pot of ivy

User FlxPeters
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1 Answer

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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.

User Pavel Shastov
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