Kendra has $5.60 in nickels and quarters. If she has 14 more quarters than nickels, how many of each coin does she have?

Answer 1

Greetings! Lets solve this shall we?

Let the amount of quarters be

(x+14) = quarters

x = nickels

So we now set the equation up to be

0.05x + 0.25(x+14) = 5.60

0.05x + 0.25x + 3.50 = 5.60

0.30x + 3.50 = 5.60....................Then subtract 3.50 to both sides such that

0.30x = 2.10.....................Then divide 0.30 to both sides such that

x = 7

Hence,

(x+14) = (7+14) = 21 quarters

x = 7 nickels

I hope this helps!