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Ella has only quarters and nickels in her wallet. She has 2 more quarters than nickels. The total value of the coins is $2.00. How many of each coin does Ella have? Select the answers from the drop-down menus to correctly complete the statement.

Respuesta :

wolf1728
A) N + 2 = Q
B) .05N + .25Q = 2
A) N -Q + 2 = 0
multiplying B) by 4
B) .2N + Q = 8
then we add A and B

1.2N +2 = 8
1.2N = 6
Nickels = 5
Quarters = 7

Answer:

nickles = 5

quarters = 7

Step-by-step explanation:

Let no. of nickles be x , then no. of quarters be x + 2

As nickles are 5 cent of a dollar and quarter are 25 cent of a dollar, So

5% of x + 25% of ( x + 2 ) = 2

[tex]\frac{5}{100}\cdot x + \frac{25}{100}\cdot (x+2)=2\\\frac{x}{20} +\frac{x+2}{4}=2 \\x=5[/tex]

So, no. of nickles = 5 and no. of quarters = 7

Total no. of coins = 12