Linear Equations, Ratios, and Percents

  1. Given 48-x=15+3x, find x.





  2. If corn syrup has 90 units of sugar per liter, apple juice has 10 units of sugar per liter, and maple syrup has 60 units of sugar per liter, how much corn syrup and apple juice should you use to make a liter of syrup with the same sugar content as a liter of maple syrup?




  3. There are approximately 5.9 Danish Krone (DKK) per USD. There are approximately 107.3 Japanese Yen (JPY) per USD.
    1. How many USD have the same value as 1500 DKK?





    2. How many JPY have the same value as 400 USD?





    3. How many JPY have the same value as 3000 DKK?





  4. What is 17% of 680?





  5. If 20% of x is 45,000, what is x?