There are 187 nickels and 66 dimes in the jar.
Step-by-step explanation:
Given,
Total coins = 253
Value of coins = $15.95 = 15.95*100 = 1595 cents
Value of each nickel = 5 cents
Value of each dime = 10 cents
According to given statement;
x+y=253 Eqn 1
5x+10y=1595 Eqn 2
Multiplying Eqn 1 by 5
[tex]5(x+y=253)\\5x+5y=1265\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 3 from Eqn 2
[tex](5x+10y)-(5x+5y)=1595-1265\\5x+10y-5x-5y=330\\5y=330[/tex]
Dividing both sides by 5
[tex]\frac{5y}{5}=\frac{330}{5}\\y=66[/tex]
Putting y=66 in Eqn 1
[tex]x+66=253\\x=253-66\\x=187[/tex]
There are 187 nickels and 66 dimes in the jar.
Keywords: linear equation, elimination method
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