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Karen's piggy bank has all dimes and quarters. The total value of the money in her piggy
bank is $11.40. If Karen has 36 quarters, write and solve a linear equation to find the number
of dimes she has.

Respuesta :

calculista

Answer:

24 dimes

Step-by-step explanation:

Let

x ---> the number of dimes Karen has

y ---> the number of quarters Karen has

we know that

[tex]1\ dime=\$0.10[/tex]

[tex]1\ quarter=\$0.25[/tex]

so

[tex]0.10x+0.25y=11.40[/tex] -----> equation A

[tex]y=36\ quarters[/tex] ----> equation B

substitute equation B in equation A

[tex]0.10x+0.25(36)=11.40[/tex]

solve for x

[tex]0.10x+9=11.40[/tex]

[tex]0.10x=11.40-9[/tex]

[tex]0.10x=2.40[/tex]

[tex]x=24\ dimes[/tex]