MathMaster logo

MathMaster

  1. Home
  2. general
  3. 94 the magazines in a certain library are distributed into three different categories entertainment scientific and artisti
Question

94. The magazines in a certain library are distributed into three different categories: entertainment, scientific and artistic. The number of scientific magazines in this library is equal to three times the number of entertainment magazines, and the number of scientific magazines exceeds the number of artistic magazines by 25. If the total number of magazines in this library is equal to 353, and if each magazine belongs to only one category, then the difference between the number of artistic magazines and the number of entertainment magazines, in that order, is equal to

93

likes
464 views

Answer to a math question 94. The magazines in a certain library are distributed into three different categories: entertainment, scientific and artistic. The number of scientific magazines in this library is equal to three times the number of entertainment magazines, and the number of scientific magazines exceeds the number of artistic magazines by 25. If the total number of magazines in this library is equal to 353, and if each magazine belongs to only one category, then the difference between the number of artistic magazines and the number of entertainment magazines, in that order, is equal to

Expert avatar
Maude
4.7
108 Answers
1. Definimos as variáveis:
E (entretenimento), C (científicas), A (artísticas).
2. Convertemos as informações do problema em expressões matemáticas:
C = 3E, C = A + 25, E + C + A = 353.
3. Substituímos C na equação da soma:
E + 3E + (3E - 25) = 353, simplificando para 7E - 25 = 353.
4. Resolvendo para E:
7E = 378 \rightarrow E = 54.
5. Calculamos C e A:
C = 3 \times 54 = 162,
A = 162 - 25 = 137.
6. Encontramos a diferença:
A - E = 137 - 54 = 83.

[Solution] A - E = 83

Frequently asked questions (FAQs)
Question: Simplify √(18) + 2√(32) - √(75)
+
Question: What is the median of the set of numbers 20, 18, 16, 22, 13, 23, 19, 21, and 15?
+
What is the equation of a logarithmic function with a vertical asymptote at x = 0, horizontal asymptote at y = 2, and passes through the point (1, 3)?
+
New questions in Mathematics
A=m/2-t isolate t
Solution to the equation y'' - y' - 6y = 0
a ferry travels 1/6 of the distance between two ports in 3/7 hour. The ferry travels at a constant rate. At this rate, what fraction of the distance between the two ports can the ferry travel in one hour.
For a temperature range between -3 degrees Celsius to 5 degrees Celsius, what is the temperature range in degrees Farenheight
58+861-87
The ratio of tomatoes to red apples is 2:5. If there are 20 tomaoes in the garden, how many red apples are there?
Desarrolla (2x)(3y + 2x)5
If f(x,y)=6xy^2+3y^3 find (∫3,-2) f(x,y)dx.
find x in the equation 2x-4=6
Solve : 15/16 divide 12/8 =x/y
What’s the slope of a tangent line at x=1 for f(x)=x2. We can find the slopes of a sequence of secant lines that get closer and closer to the tangent line. What we are working towards is the process of finding a “limit” which is a foundational topic of calculus.
The price per night of a suite at the Baglioni Hotel in Venice is 1896 euros, VAT included. The VAT in Italy is 25%. The hotel gets a return of 10% out of the price VAT included. a) What is the amount of VAT paid by the hotel for one
Estimate the quotient for 3.24 ÷ 82
I. Order to add 40.25+1.31+.45 what is the first action to do ?
Sections of steel tube having an inside diameter of 9 inches, are filled with concrete to support the main floor girder in a building. If these posts are 12 feet long and there are 18 of them, how many cubic yards of concrete are required for the job?
Let x be an integer. Prove that x^2 is even if and only if is divisible by 4.
94 divided by 8.75
Convert (324)𝑓𝑖𝑣𝑒 into base-ten
the length of the fenced in area is to be 5 ft greater than the width and the total amount of fencing to be used is 89 ft find the width and length
x(squared) -8x=0

You might be interested in