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Penelope has $3.40 worth of dimes and quarters. She has a total of 22 dimes and quarters altogether. Determine the number of dimes and the number of quarters that Penelope has.

Respuesta :

calculista

Answer:

Penelope has 14 dimes and 8 quarters

Step-by-step explanation:

Remember that

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

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

Let

x ----> the number of dimes

y ----> the number of quarters

we know that

[tex]x+y=22[/tex] ----> equation A

[tex]0.10x+0.25y=3.40[/tex] ----> equation B

Solve the system by graphing

The solution is the intersection point both graphs

using a graphing tool

The solution is the point (14,8)

see the attached figure

therefore

Penelope has 14 dimes and 8 quarters

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