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A. Simplify the equation that represents the value of the coins. Make it an equation that expresses the value of quarters, dimes, and nickels. B. Is it possible to have exactly 60 pennies in $1.87? Explain.

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MrRoyal

Equivalent equations are equations that have the same value

  • The simplified equation is: [tex]25q + 10d + 5n= 127[/tex]
  • It is not possible to have exactly 60 pennies

The equation is given as:

[tex]25q + 10d + 5n + 60 = 187[/tex]

(a) Simplify the equation

We have:

[tex]25q + 10d + 5n + 60 = 187[/tex]

Subtract 60 from both sides of the equation

[tex]25q + 10d + 5n + 60 - 60= 187 - 60[/tex]

Evaluate the like terms

[tex]25q + 10d + 5n= 127[/tex]

Hence, the simplified equation is: [tex]25q + 10d + 5n= 127[/tex]

(b) Having exactly 60 pennies

To have exactly 60 pennies in $1.87, then the simplified equation in (a) above must be true

However, the equation [tex]25q + 10d + 5n= 127[/tex] is not true for whole values of q, d and n.

Hence, it is not possible to have exactly 60 pennies

Read more about equivalent equations at:

https://brainly.com/question/2972832

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