Answer: 20
Step-by-step explanation:
Let n = number of nickels, and p = number of pennies.
The number of coins is 25, so we get this equation.
n + p = 25
The value of the coins is 0.05 per nickel, and 0.01 per penny.
0.05n + 0.01p = 0.73
Now you have a system of equations.
n + p = 25
0.05n + 0.01p = 0.73
Solve the first equation for n:
n = 25 - p
Now substitute into the second equation.
0.05(25 - p) + 0.01p = 0.73
1.25 - 0.05p + 0.01p = 0.73
-0.04p = -0.52
p = 13
There were 13 pennies.
Now we substitute 13 for p in n + p = 25 to find out the number of nickels.
n + 13 = 25
n = 12
There are 13 pennies and 12 nickels.
Check: 13 pennies and 12 nickels does total 25 coins.
13 * 0.01 + 12 * 0.05 = 0.13 + 0.60 = 0.73
The value is $0.73.
Our answer is correct.
$117.05
- $ 14.99
-------------
$102.46 left
Divide 102.46 by 0.81, and you get 126, which makes it 126 miles.
Hope this helps!
Yes, Lord Vader !
2/3 x + 5 = 1/2
Multiply each side by 2 : 4/3 x + 10 = 1
Multiply each side by 3 : 4 x + 30 = 3 <== equivalent equation
without fractions
Subtract 30 from each side: 4x = -27
Divide each side by 4 : x = -27/4 = -6.75
