There are 1160 pennies and 114 dimes in the piggy bank.
Step-by-step explanation:
Given,
Worth of money = $23.00 = 23*100 = 2300 cents
1 penny = 1 cent
1 dime = 10 cents
Let,
x be the number of pennies
y be the number of cents
According to given statement;
x+10y=2300 Eqn 1
x = 10y+20 Eqn 2
Putting value of x from Eqn 2 in Eqn 1
[tex]10y+20+10y=2300\\20y=2300-20\\20y=2280[/tex]
Dividing both sides by 20
[tex]\frac{20y}{20}=\frac{2280}{20}\\y=114[/tex]
Putting y=144 in Eqn 2
[tex]x=10(114)+20\\x=1140+20\\x=1160[/tex]
There are 1160 pennies and 114 dimes in the piggy bank.
Keywords: linear equation, substitution method
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