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Two customers went to a sports shop to buy baseballs and gloves. Each Baseball cost the same amount and each glove costs the same amount.
- The first customer paid $60 for four baseballs and two gloves
- The second customer paid $84 for five baseballs and three gloves
What was the cost in dollars of each baseball?

Two customers went to a sports shop to buy baseballs and gloves Each Baseball cost the same amount and each glove costs the same amount The first customer paid class=
Two customers went to a sports shop to buy baseballs and gloves Each Baseball cost the same amount and each glove costs the same amount The first customer paid class=

Respuesta :

Answer:

$6.00

Step-by-step explanation:

Using a system of equations, it is found that each baseball costs $6.

For our system, we are going to say that:

  • x is the cost of a baseball.
  • y is the cost of a glove.

The first customer paid $60 for four baseballs and two gloves, hence:

[tex]4x + 2y = 60[/tex]

Simplifying by 2:

[tex]2x + y = 30 \rightarrow y = 30 - 2x[/tex]

The second customer paid $84 for five baseballs and three gloves, hence:

[tex]5x + 3y = 84[/tex]

Since [tex]y = 30 - 2x[/tex]

[tex]5x + 3(30 - 2x) = 84[/tex]

[tex]5x + 90 - 6x = 84[/tex]

[tex]x = 6[/tex]

Each baseball costs $6.

A similar problem is given at https://brainly.com/question/24778333

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