Answer:
Option A: The answer should be 10% of 6 is the correct answer.
Step-by-step explanation:
Given that:
6 students play trumpet. As they represent 10% of the total students.
Let,
x represent the number of students in the band.
10% of x = 6
By solving this, we will get the value for number of students in the band.
As x will be our answer,
The choices B, C and D are correct in the given scenario.
However,
10% of 6 cannot be the solution to the problem.
Hence,
Option A: The answer should be 10% of 6 is the correct answer.
Answer: 16
Solution:
1) Use letters to identify the variables:
Number of trumpets: t
Number of clarinets: c
2) Translate each statement into algebraic (mathematical) language.
2.1) Sold a total of 27 used trumpets and clarinets
=> t + c = 27
2.2) Trumpets cost $149 and clarinets cost $99
Total cost of the trumpets: 149t
Total cost of clarinets: 99c
Total cost = 149t + 99c
2.3) Total sales were $3223
=> 149t + 99c = 3223.
3) State the system of equations:
Equation (1) t + c = 27
Equation (2) 149t + 99c = 3223
4) Solve the system of equations:
4.1) Multiply equation 1 by 149:
=> 149t + 149c = 4023
4.2) Subtract the equation (2) from the equation obtained in 4.1
=> 149c - 99c = 4023 - 3223
=> 50c = 800
=> c = 800 / 50 = 16
5) Verify the solution:
From equation (1) t = 27 - 16 = 11
Total cost = 149*11 + 99*16 = 3223
Now you have a verified answer: they sold 16 clarinets
Distribute and combine like-terms!
-4x + 12x - 2x - 2
6x - 2
Answer:
Same here.
Step-by-step explanation:
I'm usually bored, that's why I mainly use this site.
:D