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Sagot :
Answer:
There are 43 nickels in the piggy bank.
Step-by-step explanation:
Given that:
Number of coins = 91
Worth of coins = $6.95 = 6.95*100 = 695 cents
Let,
x be the number of nickles
y be the number of dimes
According to given statement;
x+y=91 Eqn 1
5x+10y=695 Eqn 2
Multiplying Eqn 1 by 5
5x+5y = 455 Eqn 3
Subtracting Eqn 3 from Eqn 2
(5x+10y)-(5x+5y)=695-455
5x+10y-5x-5y=240
5y = 240
[tex]\frac{5y}{5}=\frac{240}{5}[/tex]
y = 48
Putting y=48 in Eqn 1
x+48=91
x=91-48
x= 43
Hence,
There are 43 nickels in the piggy bank.
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