Question

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?

Answer 1

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

Answer 2

Answer:

$x+y=14\\2x+5y=43$

Step-by-step explanation:

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

Jonathon has a total of 14 bags.

So, $x+y=14$

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

Since she earns $43 in total.

We have, $2x+5y=43$.

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

$x+y=14$

$2x+5y=43$