**A neghborhood lemonade stand sold small glasses lemonade for 15cts a glass and a large gas for 25 cts a glass. ?**

**Answer:**

Let the amount of small glasses be x, let the number of large glasses be y.

Based on the given information in the problem, we can make two equations:

a) .15x + .25 y = 105 (small glasses are 15 cents, large glasses are 25 cents, and the total dollar amount sold is 105 dollars.

b) x + y = 500 (500 glasses were sold which means the number of small and large glasses MUST add to 500.

Letâ€™s manipulate b) so that we isolate one of the variables i. e. :

y = 500 - x.

Now we substitute this value in for y in equation a) to make:

.15x + .25 (500 - x) = 105

==> .15 x + 125 - .25 x = 105

==> -.1 x = -20

==> x = 200.

==> y = 300. (from equation b)

So 200 small glasses and 300 large glasses were sold.