Nathan buys coffee and hot chocolate for his co-workers. Each cup of coffee costs $1.75 and each cup of hot chocolate costs $1.00. If he pays a total of $14.50 for 10 cups, how many of each does he buy?

6 cups of coffee

4 cups of hot chocolate

Step-by-step explanation:

x=number of cups of coffee

y=number of cups of hot chocolate

1.75x+1y=14.5

x+y=10    y=10-x

substitute for y

1.75x+10-x=14.5

0.75x=4.5

x=6

y=10-6=4