You are walking down the street one day minding your own business when you spot a small but heavy leather bag lying on the sidewalk. It turns out to contain U. S. Mint American Eagle gold coins of the following types: - 1/4 oz gold coins that sell for $150 each, and
- 1/10 oz gold coins that sell for $70 each
A bank reciept in the bag certifies that it contains 68 such coins with a total value of exactly $8120. Immediately you wonder how much all of those coins must weigh! Set up a system of equations related to this scenario, and solve it. Then deduce the total weight of the coins in the bag.