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
Answer:
5/4 * 4
Step-by-step explanation:
P = 5 = 4L
4L = 5
L = 5/4
When you divide fractions, you want to use keep change flip.
You keep the 1st fraction, change the division sign into a multiplication sign, then flip the last fraction.
Let’s use 3/4 ÷ 2/3
Keep 3/4 the same, change the division sign into a multiplication sign, and flip 2/3 so that it is 3/2
It’ll look like this
3/4 x 3/2
Now just multiply the numerators, 2 x 3, then multiply the demoninators, 4 x 2.
You get 6/8
Simplify this number and you get 3/4.
If you have any further questions feel free to ask.
Hope this helps.
