John walks into a bagel shop and buys 3 cups of coffee and 6 bagels for $9.00. The next day, he goes back and buys 4 cups of coffee and 3 bagels for $8.25. How much do 1 cup of coffee and 1 bagel cost at this store?
Let 'b' be the price of a bagel and 'c' the price of a cup of coffee. Then we have 3c+2b=12.75 and 2c+5b=14. If we solve, we get c=$3.25, b=$1.50. That's expensive coffee!
