my grandfather has a huge coin collection of silver dollars and 50-cent pieces. He promised to give one fourth if his collection to the first of his grandchildren who can figure put the total value of his coins. The only cares he will give are these: There are 133 more silver dollars than 50-cent pieces. The ratio if silver dollars to 50-cent pieces is 5:2. I'm determined to beat my sister and my cousins to the answer! How many of each type of coin is in my grandfather's collection? How much money will I get if I am the first one to answer the question?

Answer 1

If there are d dollars and h halves, then what do we know?

d = h+133
d/h = 5/2

Now you can easily find h and d.