Question

William Shakespeare wrote 37 plays, including tragedies, comedies , and histories. He wrote the same number of tragedies and histories, He wrote the same number of tragedies and histories , but the number of comedies he wrote is 3 less than twice the number of tragedies. Write the system of equation to find how many of each type of play did Shakespeare write.

Answer 1

Answer:

10 tragic and histories, and 1y comedies

Step-by-step explanation:

let X = the number of tragedies

let X = the number of histories

2x - 3 = the number of comedies

x + x + 2x - 3 = 37

4x = 40

x = 10

2x - 3 = 2(10) - 3 = 17 comedies.