Question 424032
Jeffery has a piggy bank with $28.00 in dimes and quarters. If there are 205 coins in total, how many of each coin does he have?
-------------------
Equations:
Quantity Eq.::: d  +  q  = 205 coins
Value Eq.:::: 10d + 25q  = 2800 cents
-------------------------------------------
Multiply thru the Quantity Eq. by 10 to get:
10d  + 10q  = 2050
10d  + 25q  = 2800
----------------------
Subtract and solve for "q":
15q = 750
q = 50 (# of quarters)
---
Solve for "d":
d + q = 205
d + 50 = 205
d = 155 (# of dimes)
======================
Cheers,
Stan H.
===============