High School

Shayna and Arjun each improved their yards by planting grass sod and geraniums. They bought their supplies from the same store. Shayna spent $16 on 2 ft² of grass sod and 1 geranium. Arjun spent $73 on 1 ft² of grass sod and 7 geraniums. What is the cost of one ft² of grass sod and the cost of one geranium?

Answer :

The cost of 1 ft² grass sod is $3 and the cost of 1 geranium is $10.

This is found using simultaneous equations.

What are simultaneous equations?

A finite set of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations.

Let,

x = Cost of 1 ft² grass sod

y = Cost of 1 geranium

In Shayna's case

Grass sod = 2ft²

Geranium bought = 1

Cost = $16

Equation

2x + y = 16 ⇒ (1)

In Arjun's case

Grass sod = 1 ft²

Geranium = 7

Cost = $73

Equation

x + 7y = 73 ⇒ (2)

Solving the equation (1) and (2)

From (1)

y = 16 - 2x

Substituting the above in (2)

x + 7 (16-2x) = 73

-13x = -39

x = 3

y = 16 - 2*3 = 10

Therefore from the solution of the above simultaneous equations, we can conclude that the cost of 1 ft² grass sod is $3 and the cost of 1 geranium is $10.

To learn more about simultaneous equations, follow the link.

https://brainly.com/question/16863577

#SPJ1

Other Questions