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:
\(x+y=14\\2x+5y=43\)
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,
\(x+y=14\)
\(2x+5y=43\)