contestada

Brodie’s gourmet Pretzel shop specializes in selling the very finest chocolate covered pretzels. Erin bought 4 white chocolate pretzels and 6 dark chocolate pretzels for $10.50. Samantha bought 8 white chocolate and 3 dark chocolate pretzels for $9.75. Find out the cost of each type of pretzel.

Respuesta :

absor201

One white chocolate pretzel costs $0.75 and one dark chocolate pretzel costs $1.25

Step-by-step explanation:

Let,

Cost of one white chocolate pretzel = x

Cost of one dark chocolate pretzel = y

According to given statement;

4x+6y=10.50    Eqn 1

8x+3y=9.75      Eqn 2

Multiplying Eqn 1 by 2

[tex]2(4x+6y=10.50)\\8x+12y=21.00\ \ \ \ Eqn\ 3[/tex]

Subtracting Eqn 2 from Eqn 3;

[tex](8x+12y)-(8x+3y)=21.00-9.75\\8x+12y-8x-3y=11.25\\9y=11.25\\[/tex]

Dividing both sides by 9

[tex]\frac{9y}{9}=\frac{11.25}{9}\\y=1.25[/tex]

Putting y=1.25 in Eqn 1

[tex]4x+6(1.25)=10.50\\4x+7.5=10.50\\4x=10.50-7.5\\4x=3[/tex]

Dividing both sides by 4

[tex]\frac{4x}{4}=\frac{3}{4}\\x=0.75[/tex]

One white chocolate pretzel costs $0.75 and one dark chocolate pretzel costs $1.25

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/7294502
  • brainly.com/question/7449065

#LearnwithBrainly

Otras preguntas