stephanietorres75
contestada

The gardeners at Middleton Place Gardens want to plant a total of 40 white and pink hydrangeas in one
flower bed. In another flower bed, they want to plant 102 hydrangeas. In this bed, they want 2 times the
number of white hydrangeas and 3 times the number of pink hydrangeas as in the first bed. Use a system
of equations to find how many white and how many pink hydrangeas the gardeners should buy
altogether

Respuesta :

absor201

The gardeners should buy 54 white hydrangeas and 88 pink hydrangeas altogether.

Step-by-step explanation:

Let,

Number of white hydrangeas = x

Number of pink hydrangeas = y

According to given statement;

In first bed

x+y = 40    Eqn 1

In second bed

2 times the  number of white hydrangeas and 3 times the number of pink hydrangeas as in the first bed.

2x+3y=102    Eqn 2

Multiplying Eqn 1 by 2

[tex]2(x+y=40)\\2x+2y=80\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](2x+3y)-(2x+2y)=102-80\\2x+3y-2x-2y=22\\y=22[/tex]

Putting y=22 in Eqn 1

[tex]x+22=40\\x=40-22\\x=18[/tex]

Number of white hydrangeas altogether = x+2x = 3x = 3(18) = 54

Number of pink hydrangeas altogether = y+3y = 4y = 4(22) = 88

The gardeners should buy 54 white hydrangeas and 88 pink hydrangeas altogether.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/4847829
  • brainly.com/question/4892332

#LearnwithBrainly

Otras preguntas