Question

Bryan works at the ballpark selling bottled water. She sells 19 bottles in One shift. The large bottles sell for $8 each and the small bottles sell for $3 each. At the end of One game, she has taken in $102. How many large and small bottles did Bryan sell?

Answer 1

9 large bottles

10 small bottles

Explanation:

You have to create a system of equations.

Bryan sells a total number of 19 bottles.

x + y = 19

The large bottles sell for $8, and the small bottles sell for $3. She made $102.

8x + 3y = 102

You can solve this system of equations using substitution. Rearrange the first equation so that it is equal to y. Then, plug the y into the second equation.

x + y = 19

y = 19 - x

8x + 3(19 - x) = 102

8x + 57 - 3x = 102

5x = 45

x = 9

Now that you have found the x-value, solve for y.

x + y = 19

9 + y = 19

y = 10

There were 8 large bottles sold and 10 small bottles sold.

Answer 2

9 large and 10 small

Step-by-step explanation: The combination to get 19 and start from the middle which is 10 and 9 and interchange them until you get 102 which should be 8x + 3y x is the number of large bottles and y the number of small bottles. Another way to do it is 8x + 3y = 102 and plugin into the calculator both sides on different equations and get the interception