1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
stepladder [879]
3 years ago
9

A music store sold a total of 27 used trumpets and clarinets in one month. Trumpets cost $149 and clarinets cost $99. If total s

ales were $3223, how many clarinets did they sell?
Mathematics
1 answer:
vodomira [7]3 years ago
7 0
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
You might be interested in
Please help me! Thank you!
Mariana [72]
The correct answer is D
4 0
3 years ago
I SEE YALL LOOKING BUT NOT HELPING PLEASE SOMEONE
bezimeni [28]

Answer:

the pitcure isnt clear.

8 0
3 years ago
Alex types 3 pages in the same amount of time that Erica types 4.5 pages. If Alex and Erica start typing at the same time, how m
Archy [21]

Answer:

12.5

Step-by-step explanation:

4.5 - 3 = 1.5, so 11 + 1.5 = 12.5

7 0
3 years ago
Ramon wants to make an acute triangle with three pieces of wood. So far, he has cut wood lengths of 7 inches and 3 inches. He st
o-na [289]

Answer: Exactly square root 58 inches

Step-by-step explanation: The dimensions given for the right angled triangle are 7 inches and 3 inches respectively. The third side is yet unknown. However what we know is that a right angled triangle can be solved by using the Pythagoras theorem which states that,

AC^2 = AB^2 + BC^2

Where AC is the longest side. The question requires us to calculate the longest side and with the other two sides already known, the Pythagoras theorem now becomes,

AC^2 = 7^2 + 3^2

AC^2 = 49 + 9

AC^2 = 58

Add the square root sign to both sides of the equation

AC = square root 58 inches

5 0
3 years ago
Read 2 more answers
One number is three more than the other. their sum is thirty three. find the numbers
adell [148]
The numbers are 15,18
They add to 33 and a difference of 3
3 0
2 years ago
Other questions:
  • Which number in written in scientific notation? (BIG POINTS REWARD)
    14·1 answer
  • Doritos $4.39 for 11.5oz VS. Cheetos $2.24 for 9.75oz
    11·1 answer
  • Find the measures of the supplementary angles if their measures are in ratio of 2:3
    10·2 answers
  • Solve y = ax2 + c for x
    12·2 answers
  • an aircraft flies from its base 200 km on a bearing 162 degree, then 350km on a bearing 260 degree and then returns directly to
    12·1 answer
  • I'm honestly confused help
    6·1 answer
  • Find the slope of the line from the table:
    11·1 answer
  • 2. Use the figure below and angle relationships to
    7·1 answer
  • Please I really need help! I'll give brainliest also!
    14·1 answer
  • estimate by rounding to the nearest ten. the find the product 12.93×29.6 The estimate is= The product is=​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!