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)
What is the area of a triangle with base 8 inches and height 10 inches?
+
What is the equation for finding the length of the median of a triangle if the lengths of the other two sides are given?
+
What is the limit as x approaches 2 of the function f(x) = (x^2 - 4)/(x - 2)?
+
New questions in Mathematics
2x-y=5 x-y=4
Calculate the equation of the tangent line ay=sin(x) cos⁡(x)en x=π/2
If O(3,-2) is reflected across x = 2. What are the coordinates of O
7273736363-8
(5y 9)-(y 7)
Three squares have a total area of 35.25 𝑐𝑚2 . The larger square has twice the side-length of the middle-sized square. The smaller square has its side length exactly 0.5 cm smaller than the middle-sixed square. Find the side lengths of each of the three squares.
The physician orders 15mg of tramadol(liquid). On hand is 30mg/2mL vials. How many mL will the MA administer?
4+168×10³×d1+36×10³×d2=-12 -10+36×10³×d1+72×10³×d2=0
Quadratic equation 2X = 15/X + 7
If the regression equation is given by 4x –y + 5 = 0, then the slope of regression line of y on x is
A car travels 211 miles on 15 gallons of gasoline. The best estimate of the car’s miles per gallon is?
Determine a general formula​ (or formulas) for the solution to the following equation.​ Then, determine the specific solutions​ (if any) on the interval [0,2π). cos30=0
A contractor gives a bank note for $10250 at a rate of 1% for one month. How much interest is charged for 4 months?
16.What payment (deposit) made at the end of each month will accumulate to $10473 in 13 years at 7.9% compounded monthly? Enter to the nearest cent (two decimals). Do not use $ signs or commas in the answer.
Log0
A given initial capital in simple interest at the annual rate and for 27 months produced the accumulated capital of 6600 um if the same capital had been invested at the same rate but during 28 months the said accumulated capital would be increased in an amount corresponding to 0.75% of the initial capital Calculate the initial capital and the annual rate at which it was invested
The area bounded by the curve y=ln(x) and the lines x=1 and x=4 above the x−axis is
The average weekly earnings in the leisure and hospitality industry group for a re‐ cent year was $273. A random sample of 40 workers showed weekly average ear‐ nings of $285 with the population standard deviation equal to 58. At the 0.05 level of significance can it be concluded that the mean differs from $273? Find a 95% con‐ fidence interval for the weekly earnings and show that it supports the results of the hypothesis test.
Carmen's age was twice as old as Luis was when Carmen was Luis's age. When Luis is Carmen's age, their ages will add up to 112.
5 1/9 + 2 2/3

You might be interested in