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Sarah bought 5 items for a total of $24. A braceler
costs $5 and a pair of sunglasses costs $4.50.
Write a system of equations and determine how
many of each item she purchased.
("Einstein" letters)

Respuesta :

absor201

Sarah bought 3 bracelets and 2 pairs of sunglasses.

Step-by-step explanation:

Total items bought = 5 items

Total spent = $24

Cost of one bracelet = $5

Cost of pair of sunglasses = $4.50

Let,

x be the number of bracelet bought.

y be the number of sunglasses bought.

According to given statement;

x+y=5    Eqn 1

5x+4.50y=24    Eqn 2

Multiplying Eqn 1 by 5

[tex]5(x+y=5)\\5x+5y=25\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 2 from Eqn 3

[tex](5x+5y)-(5x+4.50y)=25-24\\5x+5y-5x-4.50y=1\\0.50y=1[/tex]

Dividing both sides by 0.50

[tex]\frac{0.50y}{0.50}=\frac{1}{0.50}\\y=2[/tex]

Putting in Eqn 1

[tex]x+2=5\\x=5-2\\x=3[/tex]

Sarah bought 3 bracelets and 2 pairs of sunglasses.

Keywords: linear equations, subtraction

Learn more about subtraction at:

  • brainly.com/question/902892
  • brainly.com/question/884169

#LearnwithBrainly

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