Dimitar has only dimes and quarters in his piggy bank. If he has 5 more dimes than quarters and the total is $74, how many dimes and quarters does he have?

Respuesta :

Answer:

215 dimes and 210 quarters.

Step-by-step explanation:

If the dimes are 5 more than the quarters, we can know that it is 215 since it is 5 more than 210.

Dimitar have 5180 quarters and  5185 dimes in his piggy bank.

What is a quarter?

"A quarter is one of four equal parts. A quarter can be identified in different ways, including:

A fraction - [tex]\frac{1}{4}[/tex]

A decimal - 0.25

A percentage - 25% of 100"

What is a dime?

"An American or Canadian coin that is worth ten cents is a dime."

We have

1 quarter is 25 cents and 1 dime is 10 cents.

Let the number of quarters =x.

Then, the number of dimes =x+5.

So

(x.25) + (x+5)⋅10 = $74

25x + 10x + 50 = 7400

35x + 50 = 7400

35x = [tex]\frac{7400}{50}[/tex]

35x = 148

x = 148 × 35

x = 5180

Number of quarters = 5180

Number of dimes

= x + 5

=5180 + 5

= 5185

Number of dimes = 5185

Thus, Dimitar have 5180 quarters and  5185 dimes in his piggy bank.

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