Let x = # of the 20-dollar bills Philip has. Then the number of 50-dollar bills is 2x, and the number of the 100-dollar bills is 2*(2x) = 4x. Then the total money is 20x + 50*(2x) + 100*(4x) = (20+100+400)x = 520x dollars, and it is equal to 1560 dollars, according to the condition. 520x = 1560 Hence, x = 1560/520 = 3. Thus, there are 3 20-dollar bills, 6 50-dollar bills and 12 100-dollar bills. In all, there are 3+6+12 = 21 bills. ANSWER.
Let the number of $20 bills be T
Then the number of $50 bills = 2T
Also, the number of $100 bills = 2(2T) = 4T
We then get: 20T + 50(2T) + 100(4T) = 1,560
20T + 100T + 400T = 1,560
520T = 1,560
T, or
You should now be able to find the total number of bills!