Answer:
Step-by-step explanation:
Let the dimes = d
Let the nickels = q
d + q = 24
=============
(0.1)d + q(0.25) = 3.75 multiply this equation by 100 to get rid of the decimals.
10d + 25q = 375
=============
Write the bottom equation first and the top equation * 10 second
10d + 25q = 375
10d + 10q = 240 Subtract. The n s cancel.
===========
15q = 135 Divide by 15
q = 135/15
q = 9
================
d + q = 24
d + 9 = 24 Subtract 9 from both sides.
d = 24 - 9
d = 15
Check
There are 15 dimes and 9 quarters.
15 * 0.1 = 1.50
9 * 0.25= 2.25
Sum = 3.75 which is what you were given.
