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
x + y = 125 ----- equation 1
0.25x + 0.1y = 26 --- equation 2
Step-by-step 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