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Micaela and Elisa each improved their yards by planting rose bushes and geraniums. They both bought their supplies from the same store.

Micaela spent $122 on 14 rose bushes and 8 geraniums. Elisa spent $120 on 12 rose bushes and 12 geraniums.

What is the cost of one geranium?

Answer :

By solving a system of equations, we can see that each geranium costs 3 dollars.

What is the cost of one geranium?

First, let's define the two variables:

x = price of one rose bush.

y = price of one geranium

Now, with the information on the problem we can write two equations, thus, we will have a system of equations:

$122 = 14*x + 8*y

$120 = 12*x + 12*y

We want to solve that system, if we isolate x on the first equation we will get:

x = ($122 - 8y)/14

Now we can replace this on the other equation:

$120 = 12*($122 - 8y)/14 + 12*y

Now we can solve this for y.

14*$120 = 12*($122 - 8y) + 12*14*y

$1,680 = $1,464 + 72y

($1,680 - $1,464 )/72 = y = $3

Each geranium costs 3 dollars.

If you want to learn more about systems of equations:

https://brainly.com/question/13729904

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