SOLUTION: Mrs. Boyd has a desk full of quarters and nickles. If she has a total of 26 coins with a total face value of $4.30, how many of the coins are nickles? a) 20 nickles b) 11 nickle

Question 561027: Mrs. Boyd has a desk full of quarters and nickles. If she has a total of 26 coins with a total face value of $4.30, how many of the coins are nickles?
a) 20 nickles b) 11 nickles c) 13 nickles d) 15 nickles
Please show work.
THANK YOU!!
Answer by Maths68(1474) (Show Source): You can put this solution on YOUR website!
Nickels=x
Quarters=26-x
Total value = $4.30 = 4.30*100 = 430 cents
(Nickels)(5)+(Quarters)(25)=Total value
(x)(5)+(26-x)(25)=430
5x+650-25x=430
5x-25x=430-650
-20x=-220
-20x/-20=-220/-20
x=11

Nickels=x = 11
Quarters=26-x = 26-11 = 15

Check
======
11*5+15*25 = 430
55+375=430
430=430

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