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Karen has $1.70 in coins. Karen has 8 coins, all of which are quarters or dimes.
1. Write an equation to represent the amount of coins Karen has.
2.Write an equation to represent the value of the coins Karen has.

☆ The equations has to be in the systems of linear equations and Inequalities.

So can someone help me with these 3 parts?

Respuesta :

absor201

x+y=8 and 25x+10y=170 are the linear equations.

x+y≤8 and 25x+10y≤170 are the inequalities.

Step-by-step explanation:

Given,

Worth of coins = $1.70 = 1.70*100 = 170 cents

Number of coins = 8

1 quarter = 25 cents

1 dime = 10 cents

Let,

x represent the number of quarters

y represent the number of dimes

1. Write an equation to represent the amount of coins Karen has.

x+y = 8

2.Write an equation to represent the value of the coins Karen has.

25x+10y=170

x+y=8 and 25x+10y=170 are the linear equations.

For inequalities, the amount cannot increase number of coins and worth but it can be less, therefore,

x+y≤8

25x+10y≤170

x+y≤8 and 25x+10y≤170 are the inequalities.

Keywords: linear equations, addition

Learn more about linear equations at:

  • brainly.com/question/10570041
  • brainly.com/question/10610299

#LearnwithBrainly

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