Question

Carl collects coins compulsively, but he only likes quarters and dimes. Carl currently has 125 coins for a total of $26.00. How many of each coin does Carl have? What are the two equations?

Answer 1

x + y = 125 ----- equation 1

0.25x + 0.1y = 26 --- equation 2

Explanation:

let x represents quarter and y represents dimes

According to the question, quarter and dimes made up the total coins Carl has

Carl has 125 worth of coins

quarter + dime = coin

x + y = 125 ----------- equation 1

The coins are worth a total of $26

one coin = 0.25 quarters

one coin = 0.1 dimes

0.25x + 0.1y = 26 ----- equation 2

Hence, the two equations are

x + y = 125 ----- equation 1

0.25x + 0.1y = 26 --- equation 2