Question

Johann and Marta shopped at a vintage toy store. Johann bought 3 blue marbles and 5 green marbles and paid $11. Marta bought 4 blue marbles and 2 green marbles and paid $10. Which system of equations can be used to find the prices of the blue and green marbles? 3 x 5 y = 10. 4 x 2 y = 11. 3 x 5 y = 11. 4 x 2 y = 10. 5 x 3 y = 10. 4 x 2 y = 11. 5 x 3 y = 11. 4 x 2 y = 10.

Answer 1

Answer:

B. 3x+5y=11

   4x+2y=10

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Answer 2

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

The system of equations can be used to find the prices of the blue and green marbles are,

$3x+5y=11$

$4x+2y=10$

Thus the option 2 is the correct option.

What is system of equation?

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Given information-

Johann bought 3 blue marbles and 5 green marbles.

The total money paid by the Johann is $11.

Marta bought 4 blue marbles and 2 green marbles.

The total money paid by the Marta is $10.

Suppose the price of the blue marbles is $x$ and price of the green marbles is $y$.

As Johann bought 3 blue marbles and 5 green marbles and paid $11. Thus,

$3x+5y=11$      .....1

Let the above equation is equation number 1.

As Marta bought 4 blue marbles and 2 green marbles and paid $10. Thus,

$4x+2y=10$      .....2

Let the above equation is equation number 2.

Thus the equation 1 and 2 are the required set of the equation for the given problem.

Hence the system of equations can be used to find the prices of the blue and green marbles are,

$3x+5y=11$

$4x+2y=10$

Thus the option 2 is the correct option.

Learn more about the system of equations  here;

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