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Vilka [71]
2 years ago
15

I am not sure how to approach this problem or where to start? How would I be able to solve this problem?

Mathematics
1 answer:
Reika [66]2 years ago
6 0

Answer:

5.7

Step-by-step explanation:

We can use a proportion to solve the problem:

24 : 100 = 1.37 : x

x = (100 * 1.37)/24 = 137/24 = 5.7

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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

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Equation (2) 149t + 99c = 3223

4) Solve the system of equations:

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=> 149t + 149c = 4023

4.2) Subtract the equation (2) from the equation obtained in 4.1

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5) Verify the solution:

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