Maurice bought 3 sodas and 4 candy bars for $10.17. Larry bought 2 sodas and 5 candy bars for $10.28. How much does a candy bar cost?

Respuesta :

Answer:

The cost of a candy bar is [tex]\$1.5[/tex]

Step-by-step explanation:

Let

x----> the cost of a soda

y----> the cost of a candy bar

we know that

[tex]3x+4y=10.17[/tex]-----> equation A

[tex]2x+5y=10.28[/tex]-----> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The solution is the point [tex](1.39,1.5)[/tex]

see the attached figure

therefore

The cost of a soda is [tex]\$1.39[/tex]

The cost of a candy bar is [tex]\$1.5[/tex]

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