Ricky has a total of 64 pennies and quarters in a jar. He has 34 more pennies than quarters. How much money does ricky have in the jar
Let q = quarters
34 + q = 64
q = 30
(30 * 0.25) + 0.34 = $_________
To find out how much money Ricky has in the jar, we need to determine the value of the pennies and quarters separately, and then add them together.
Let's assume that Ricky has x quarters in the jar. Since he has 34 more pennies than quarters, he must have x + 34 pennies.
Now, we need to determine the value of the quarters and pennies. One quarter is worth 25 cents, and one penny is worth 1 cent. Thus, the value of x quarters is 25x cents, and the value of (x + 34) pennies is (x + 34) cents.
The total value of Ricky's coins is the sum of the values of the quarters and pennies. Therefore, we can write the equation:
25x + (x + 34) = 64
Simplifying the equation:
25x + x + 34 = 64
26x + 34 = 64
26x = 64 - 34
26x = 30
x = 30/26
x ≈ 1.154
Since we can't have a fraction of a quarter, we will round down x to 1. Therefore, Ricky has 1 quarter and 1 + 34 = 35 pennies.
To determine the total value of Ricky's coins, we calculate:
Value of quarters = 25 cents * 1 = 25 cents
Value of pennies = 1 cent * 35 = 35 cents
Adding the values together:
Total value = Value of quarters + Value of pennies
Total value = 25 cents + 35 cents
Total value = 60 cents
Therefore, Ricky has 60 cents in the jar.