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

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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) About Me  (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
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11*5+15*25 = 430
55+375=430
430=430