a vending machine takes only nickels and dimes. at the end of the day there were three times as many nickels as dimes and a tota

Question

vlada-n [284]

3 years ago

12

a vending machine takes only nickels and dimes. at the end of the day there were three times as many nickels as dimes and a tota

l of $25. how many of each coin were in the machine

Mathematics

2 answers:

Ksivusya [100] · Answer 1 · 2022-03-06T18:21:10+03:00

Ksivusya [100]3 years ago

3 0

100 dimes and 300 Nickels

Jlenok [28] · Answer 2 · 2022-03-06T20:41:03+03:00

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!! :)