Avending machine takes only nickels and dimes. at the end of the day there were three times as many nickels as dimes and a total of $25. how many of each coin were in the machine

100 dimes and 300 Nickels

X= dimes
Three times as many = 3x= nickels

Dimes are worth 10 cents = 0.10x
Nickels are worth 5 cents = 0.05(3x)

Add both together & solve:

0.10x+0.05(3x)= 25
0.10+0.15x= 25
0.25x=25
Divide both sides by 0.25
x= 100 dimes
Substitute the value of x to find 3x
3x = 3(100)= 300 nickels

Hope this helps!! :)