jerome has 24 coins in his pocket.he has 1/4 as many pennies as nickels.the remaining 4 coins are dimes.how many pennies does peter have?
24 coins - 4 dimes = 20 (pennies + nickels)
number of pennies = 1/4 nickels
20 = 4 pennies + 16 nickels
He has four dimes
That leaves 20 that are pennies or nickels.
1/4 of 16 is 4, and 16 + 4 = 20
To find out how many pennies Jerome has, we need to set up a system of equations based on the given information.
Let's assume that Jerome has x nickels.
Given that he has 1/4 as many pennies as nickels, we can write this as:
Number of pennies = 1/4 * Number of nickels
Now, we know that Jerome has a total of 24 coins in his pocket. So, we can write another equation based on this information:
Total number of coins = Number of nickels + Number of pennies + Number of dimes
Since we know that there are 4 dimes, we can substitute this value into the equation:
24 = x + (1/4)x + 4
Simplifying the equation:
24 = (5/4)x + 4
Now, let's solve the equation for x:
24 - 4 = (5/4)x
20 = (5/4)x
To eliminate the fractional coefficient, we can multiply both sides of the equation by 4:
4 * 20 = 4 * (5/4)x
80 = 5x
Finally, divide both sides of the equation by 5 to solve for x:
80 / 5 = (5x) / 5
16 = x
So, Jerome has 16 nickels.
Now, let's find out how many pennies he has:
Number of pennies = 1/4 * Number of nickels
Number of pennies = 1/4 * 16
Number of pennies = 4
Therefore, Jerome has 4 pennies.