Answer:
The drawer contains 40 nickels, 20 dimes and 14 quarters.
Step-by-step explanation:
Let d, q and n represent number of dimes, quarters and nickels respectively.
We have been given that there are twice as many nickels as dimes.
Further, the number of dimes and quarters sum to 34.
As the change drawer contains $7.50 made up entirely of quarters, nickels, and dimes.
From equation (2), we will get:
Substituting equation (1) and equation (2) in equation (3), we will get:
Therefore, drawer contains 20 dimes.
Substitute in equation (1):
Therefore, drawer contains 40 nickels.
Substitute in equation (2):
Therefore, drawer contains 14 quarters.