Question

A movie fanatic has amassed a giant collection of home movies, some on DVD and others in the older VHS cassette mode. If the fanatic has 308308308 movies on DVD, which comprises 31.3\%31.3%31, point, 3, percent of the total collection, how many total movies are in the collection?

Answer 1

984

Explanation:

DVDs comprises 31.3% of total. And we also know that there are 308 DVD. Thus, we can say:

308 is 31.3% of total

We can let total be x, thus we can write an equation as:

308 = 0.313x

Solving for x:

`308 = 0.313x\\x=(308)/(0.313)\\x=984.02`

We can round and say there are 984 total movies