High School

We appreciate your visit to Heather and Carlos each improved their yards by planting grass sod and geraniums They bought their supplies from the same store Heather spent 171 on. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Heather and Carlos each improved their yards by planting grass sod and geraniums. They bought their supplies from the same store. Heather spent $171 on 14 ft\(^2\) of grass sod and 5 geraniums. Carlos spent $117 on 6 ft\(^2\) of grass sod and 7 geraniums.

Find the cost of one ft\(^2\) of grass sod and the cost of one geranium.

Answer :

Answer:

The cost of one ft^2 of grass sod = $9

the cost of one geranium= $9

Step-by-step explanation:

Hi, to answer this question we have to write a cost equation for each one:

Heather : 14x+5y =171

Carlos: 6x+7y=117

Where x is the cost of one ft^2 of grass sod and y is the cost of one geranium.

Multiplying Heather's equation by 7, Carlos' equation by 5, and subtracting Carlos' cost to Heather's cost:

98x+35y=1,197

-

30x+35y=585

____________

68x=612

Solving for x:

x = 612/68

x=$9 per ft2

Replacing x=9 on any equation:

6(9)+7y=117

54+7y=117

7y=117-54

7y=63

y=63/7

y=$9

Thanks for taking the time to read Heather and Carlos each improved their yards by planting grass sod and geraniums They bought their supplies from the same store Heather spent 171 on. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada