The product of 3 and a number is equal to 60 more than the number. What is the number?
The number is 30.
To solve the equation given in the problem, we can set up the equation as 3x = x + 60, where x represents the unknown number. Solving this equation reveals that x equals 30, confirming that this is the correct answer.
If we substitute 15 into the equation, we find that 3(15) = 45, but 15 + 60 equals 75. Therefore, 45 does not equal 75, confirming that 15 is not the correct answer.
For 20, substituting into the equation yields 3(20) = 60, while 20 + 60 equals 80. Since 60 does not equal 80, 20 cannot be the correct answer.
Substituting 25 gives us 3(25) = 75, and 25 + 60 equals 85. As 75 does not equal 85, this option is also incorrect.
When we substitute 30 into the equation, we calculate 3(30) = 90, which equals 30 + 60. This equality confirms that 30 satisfies the condition set by the problem, making it the correct answer.
The problem establishes a relationship between a number and its product by 3, requiring us to find a solution that aligns with the equation. After evaluating all choices, only the number 30 fulfills the requirement that three times the number equals 60 more than the number itself. This reinforces the importance of careful equation setup and solving in algebraic problems.
Related Questions
View allWhich of the following expressions is equivalent to 2(x + 3) - 4(x - 2...
Alfred wants to landscape his home. The costs of all the items that he...
Liza is twice as old as Shawn, and Shawn is one year older than Wendy....
Comets are composed mainly of
Plants store carbohydrates for future metabolic use in the form of
Related Quizzes
View allPraxis 5001 Test with Answers
Praxis 5002 Study Guide
5002 Praxis Practice Test
Reading & Language Arts Praxis 5002
Praxis 5002 Reading and Language Arts Exam
Praxis 5003 Exam with Outline
5003 Praxis Math Answers
Praxis 5003 Study Guide
Praxis Social Studies 5004
Praxis 5004 Social Studies
- ✓ 500+ Practice Questions
- ✓ Detailed Explanations
- ✓ Progress Analytics
- ✓ Exam Simulations