Question

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.

Answer 1

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 2

nickles = 5

quarters = 7

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

`(5)/(100)\cdot x + (25)/(100)\cdot (x+2)=2\\(x)/(20) +(x+2)/(4)=2 \\x=5`

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

Total no. of coins = 12