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Question: Write an equation for this.

You have total 100 coins
that consist of 50 cents
and 10 cents. The total
money is 34 dollar. Find the
number of the 50 cent
coin.

Respuesta :

To solve this question, we need to write out an equation for this and proceed to solve the system of equation. the number of 50 cents coins are 60.

System of Equation

The given data in this problem are

  • number of coins = 100
  • 50 cents = x
  • 10 cents = y
  • amount = $34

The system of equations can be written as

[tex]x + y= 100...eq(i)\\0.5x + 0.1y = $34..eq(ii)[/tex]

Let's start with equation (i)

[tex]x + y = 100\\\\y = 100 - x[/tex]

Substitute equation (iii) into equation (ii)

[tex]0.5x + 0.1(100 - x) = 34\\0.5x + 10 - 0.1x = 34\\0.4x = 24\\x = 60[/tex]

From the calculations above, the number of 50 cents coins are 60.

Learn more on system of equations here;

https://brainly.com/question/1554519

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