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

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

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`