222k views
3 votes
Kim and Kiley are making a Math Final. Kim made 4 less than three times the number of questions that Kiley made. Together they made 164 questions. How many did each make?

User Cadriel
by
8.6k points

1 Answer

5 votes

Final answer:

Kim made 122 questions and Kiley made 42 questions.

Step-by-step explanation:

Let's assume the number of questions Kim made is represented by 'x' and the number of questions Kiley made is represented by 'y'.

According to the given information, Kim made 4 less than three times the number of questions Kiley made. So we can write the equation: x = 3y - 4.

Together, they made 164 questions, so we can write the equation: x + y = 164.

Using the first equation, substitute x with 3y - 4 in the second equation: 3y - 4 + y = 164. Simplifying, we get 4y - 4 = 164. Solving for y, we find y = 42.

Substituting y = 42 back into the equation x = 3y - 4, we find x = 122. Therefore, Kim made 122 questions and Kiley made 42 questions.

Learn more about Math Final

User Nikhil Maheshwari
by
7.7k points