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Kevin has 23 dimes and quarters in his piggy bank. If the value of these coins is $4.55, how many dimes and quarters does he have? Set up and solve a system of equations to solve the problem

Respuesta :

the answer is 4 quarters and 5 dimes and five pennies

We know that the value of 1 dime is $0.1. We also know that $ 1 =100 cents

Now, we know that Kevin has 23 dimes in his piggy bank. We also, know that the total amount in Kevin's piggy bank is $4.55. Thus, we need to find the amount of cents in Kevin's piggy bank. To do that we will have to set up the following equation.

(Value of one dime)x(number of dimes)+(value of one cent)x(number of cents)=$4.55

Let the number of cents be[tex] x [/tex]. Then our equation will become:

$0.1 x 23 + ($ 0.01) x [tex] x [/tex]=$4.55

[tex] 2.3+0.01x=4.55 [/tex]

[tex] 0.01x=2.25 [/tex]

[tex] x=225 [/tex]

Thus, there are 225 cents in Kevin's piggy bank

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