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Jonathon has a bag full of 14 balls to sell. He sells the baseballs for $2 dollars and the volleyballs for $5 and earns a total of $43. If the baseballs are represented by x and the volleyballs are represented by y, which of the following systems of equations can be used to calculate the number of baseballs and volleyballs sold?

Respuesta :

the equations are x+y=14 and 2x+5y=43

Answer:

[tex]x+y=14\\2x+5y=43[/tex]

Step-by-step explanation:

Let the number of baseballs = x and the number of volleyballs = y.

Jonathon has a total of 14 bags.

So, [tex]x+y=14[/tex]

Now, the price of each baseball and volleyball is $2 and $5 respectively.

Since she earns $43 in total.

We have, [tex]2x+5y=43[/tex].

Thus, the system of equations which can be used is,

[tex]x+y=14[/tex]

[tex]2x+5y=43[/tex]

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