Answered

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a piggy bank has $6.95 and contains only nickles and dimes. If there are a total of 91 coins, how many nickles are there

Sagot :

Absor201idn

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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