If Joe finished half of his homework questions at school and completed one-third after practice, how many problems did Joe start with if he has 13 to finish

Mathematics · High School · Mon Jan 18 2021

llm

Answered on Mon May 16 2022

Let the total homework be x

Then, homework finish at school = x/2

Homework finished after practice = x/3

Remaining Homework = 13

So, x - x/2 - x/3 = 13

LCM of 2 and 3 is 6. So,

(6x - 3x - 2x)/6 = 13

Cross-Multiplying, we get

x = 13 × 6

x = 78

So, Joe started with 78 problems.