Ed has a total of 92 coins in his collection.This is 8 more than three times the number of dimes in his collection. How many dimes does Ed have in his collection ? write and solve and equation

Respuesta :

Let x represent the number of dimes Ed has in its collection.

The total of coins in the collection is 8 more than three times the number of dimes.

The number of coins is 92.

3 times the number of dimes can be symbolized as: 3x

"8 more" is symbolized as +8

So the total number of coins equals:

92=3x+8

From this expression you can determine the number of dimes by solving the equation for x:

[tex]\begin{gathered} 92=3x+8 \\ 92-8=3x \\ 84=3x \\ \frac{84}{3}=\frac{3x}{3} \\ 28=x \end{gathered}[/tex]

x=28 → Ed has 28 dimes in his collection.

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