Jamey has 4 quarters, some dimes, and some pennies. If the ratio of quarters to dimes is 8 : 6 and the ratio of pennies to dimes is 7 : 3, then how many pennies does Jamey have?
Let's denote the number of quarters as Q, the number of dimes as D, and the number of pennies as P.
We are given that the ratio of quarters to dimes is 8 : 6, so we can write this as:
Q/D = 8/6
Q = (8/6)D
Q = (4/3)D
We are also given that the ratio of pennies to dimes is 7 : 3, so we can write this as:
P/D = 7/3
P = (7/3)D
Now, we know that Jamey has 4 quarters, so Q = 4. From the equation Q = (4/3)D, we can find D:
4 = (4/3)D
D = 3
Then, we can find the number of pennies:
P = (7/3)3
P = 7
Jamey has 7 pennies.