High School

We appreciate your visit to Abhasra and Lisa each improved their yards by planting rose bushes and geraniums They bought their supplies from the same store Abhasra spent 219 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!

Abhasra and Lisa each improved their yards by planting rose bushes and geraniums. They bought their supplies from the same store.

Abhasra spent $219 on 30 rose bushes and 11 geraniums. Lisa spent $420 on 6 rose bushes and 44 geraniums.

Find the cost of one rose bush and the cost of one geranium.

Explain how you arrived at the solution.

Answer :

Answer:

Step-by-step explanation:

Let R and G stand for the prices of rose bushes and geraniums, respectively.

We are told that:

Abhasra: 30R + 11G = $219

Lisa: 6R + 44G = $420

Two equations and two unknowns. Eliminate one of the variables by substitution:

Let's start with

6R + 44G = $420

and try to eliminate the G. We note that the first equation, 30R + 11G = $219, can be multiplied by 4 to bring the geraniums up to the same as in the second equation:

6R + 44G = $420

4*(30R + 11G = $219) = 120R + 44G = 876

Now subtract this equation from the first:

6R + 44G = $420

-120R - 44G = -$876

-114R = -456

R = 4: Rose bushes are $4 each.

Now use R= $4 in either equation to find G:

6R + 44G = $420

6($4) + 44G = $420

$24 + 44G = $420

44G = $396

G = : Geraniums are $9.00 each.

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Rewritten by : Barada