Answer:
Step-by-step explanation:
The jar contains 2 types of coins dimes and quarters
the total amount is equal to 36.25 dollars
the total number of coins is 250
let number of dimes be x and quarters be y
let us put the equation
0.10x + 0.25y = 36.25
for our convinience convert all money to cents i.e. = 3625 cents
now the equations are
10x + 25y = 3625
x + y = 250
we need to solve for y i.e. number of quaters
y = 250 - x
rewrite the equation substituting y in x place
10(250 - y) +25 y = 3625
2500 - 10y +25y = 3625
15y = 1125
y = 75
so the number of quarters = 75
cross checking :
number of dimes = 250 - 75 = 175
total = 10x175 + 25x75 = 1750 + 1875 = 3625 = $36.25