contestada

. DeShawn and Shawna each improved their
yards by planting hostas and ivy. They
bought their supplies from the same store.
DeShawn spent $144 on 12 hostas and 5
pots of ivy. Shawna spent $54 on 6 hostas
and 1 pot of ivy. How much does one hosta
cost?

Respuesta :

absor201

One hosta costs $7.

Step-by-step explanation:

Let,

Cost of one hosta = x

Cost of one ivy = y

According to given statement;

12x+5y=144   Eqn 1

6x+y=54    Eqn 2

In order to find cost of one hosta, we will eliminate y.

Multiplying Eqn 2 by 5;

[tex]5(6x+y=54)\\30x+5y=270\ \ \ \ Eqn\ 3[/tex]

Subtracting Eqn 1 from Eqn 3

[tex](30x+5y)-(12x+5y)=270-144\\30x+5y-12x-5y=126\\18x=126[/tex]

Dividing both sides by 18

[tex]\frac{18x}{18}=\frac{126}{18}\\x=7[/tex]

One hosta costs $7.

Keywords: linear equation, subtraction

Learn more about linear equations at:

  • brainly.com/question/13013931
  • brainly.com/question/13053309

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