Question

In an orchard there are 360 trees and they are distributed in 9 rows with the same number of trees in each row. 2 are rows of orange trees, 4 of apple trees and the rest are of pear trees. What fraction of the trees in the orchard are of each type of fruit tree? How many trees of each type are there?

125

likes
626 views

Answer to a math question In an orchard there are 360 trees and they are distributed in 9 rows with the same number of trees in each row. 2 are rows of orange trees, 4 of apple trees and the rest are of pear trees. What fraction of the trees in the orchard are of each type of fruit tree? How many trees of each type are there?

Expert avatar
Tiffany
4.5
102 Answers
Para encontrar la fracción de árboles de cada tipo de frutal, primero necesitamos saber cuántas filas hay en total.

Dado que hay 360 árboles y cada fila tiene el mismo número de árboles, podemos encontrar el número de filas dividiendo el total de árboles entre el número de árboles en cada fila.

\text{Número de filas} = \frac{360}{\text{Árboles por fila}}

Como hay 9 filas y cada una tiene el mismo número de árboles, podemos determinar el número de árboles en cada fila dividiendo el total de árboles entre el número de filas.

\text{Árboles por fila} = \frac{360}{\text{Número de filas}}

Ahora que sabemos el número de filas y el número de árboles por fila, podemos determinar la fracción de árboles de cada tipo de frutal.

Las 2 filas de naranjos representan \frac{2}{\text{Número de filas}} de los árboles totales.

Las 4 filas de manzanos representan \frac{4}{\text{Número de filas}} de los árboles totales.

Y el resto de filas (que son de perales) representan \frac{\text{Número de filas} - 2 - 4}{\text{Número de filas}} de los árboles totales.

Ahora podemos calcular el número de árboles de cada tipo multiplicando la fracción por el total de árboles.

Árboles de naranjos: \frac{2}{\text{Número de filas}} \times 360

Árboles de manzanos: \frac{4}{\text{Número de filas}} \times 360

Árboles de perales: \left( \frac{\text{Número de filas} - 2 - 4}{\text{Número de filas}} \right) \times 360

Finalmente, podemos simplificar las fracciones, calcular el número de filas y sustituir los valores para encontrar el número de árboles de cada tipo y su fracción correspondiente.

Respuesta:

Número de filas: \text{Número de filas} = \frac{360}{\text{Árboles por fila}} = \frac{360}{\frac{360}{9}} = 9

Árboles por fila: \text{Árboles por fila} = \frac{360}{\text{Número de filas}} = \frac{360}{9} = 40

Árboles de naranjos: \frac{2}{\text{Número de filas}} \times 360 = \frac{2}{9} \times 360 = 80

Árboles de manzanos: \frac{4}{\text{Número de filas}} \times 360 = \frac{4}{9} \times 360 = 160

Árboles de perales: \left( \frac{\text{Número de filas} - 2 - 4}{\text{Número de filas}} \right) \times 360 = \left( \frac{9 - 2 - 4}{9} \right) \times 360 = \frac{3}{9} \times 360 =120

Por lo tanto, la fracción de los árboles del huerto que son de cada tipo de frutal es:

Naranjos: \frac{80}{360} = \frac{2}{9}

Manzanos: \frac{160}{360} = \frac{4}{9}

Peras: \frac{120}{360} = \frac{3}{9} = \frac{1}{3}

En el huerto hay:

80 árboles de naranjos

160 árboles de manzanos

120 árboles de perales

Frequently asked questions (FAQs)
What is the sin value at π/4 radians on the unit circle?
+
What is the equation of the logarithmic function that passes through the points (1, 2) and (10, 4)?
+
Math Question: What is the derivative of ∫(2x^3 + cos(x)) dx from x = 1 to x = 5?
+
New questions in Mathematics
Simplify the expression sin³(x)+cos³(x), using trigonometric functions
Let the vectors be u=(-1,0,2) , v=(0,2,-3) , w=(2,2,3) Calculate the following expressions a)<u,w> b) &lt;2u- 5v,3w&gt;
5/8 x 64
String x = 5 Int y=2 System.out.println(x+y)
For a temperature range between -3 degrees Celsius to 5 degrees Celsius, what is the temperature range in degrees Farenheight
x/20*100
The main cost of a 5 pound bag of shrimp is $47 with a variance of 36 if a sample of 43 bags of shrimp is randomly selected, what is the probability that the sample mean with differ from the true mean by less than $1.4
Identify a pattern in the list of numbers.Then use this pattern to find the next number. 37,31,25,19,13
Solve this mathematical problem if 3/5 of a roll of tape measures 2m. How long is the complete roll?
In a grocery store, when you take out 3 peppers and 4 carrots, there are 26 peppers and 46 carrots left. How many peppers and carrots were there initially?
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.
Suppose that you use 4.29 g of Iron in the chemical reaction: 2Fe(s) + 3 Cu2 + (aq) 2Fe 3 + (aq) + 3Cu(s ) - . What is the theoretical yield of Cu (s), in grams?
Your boss asks you to plan the sample size for a randomized, double-blind, controlled trial in the clinical development of a cure for irritable bowl disease. Current standard treatment shall be compared with a new treatment in this trial. The S3-guideline of AWM demonstrated a mean change of the summary score of the validated health related quality of life questionnaire at 8 weeks of 16 with standard deviation 23 under standard treatment. You quote the drop-out rate of 11% from literature (previous phase of clinical development). Your research yielded a clinically important effect of 4 that has been found to be the Minimal Clinically Important Difference (MCID). In order to demonstrate superiority of the new treatment over standard of care, you assume that the change in of the summary score of the validated health related quality of life questionnaire follows a normal distribution, and that the standard deviation is the same for both treatments. How many patientes would one need to recruit for the trial to demonstrate the clinically interesting difference between treatments at significance level 5% with 95% power?
Estimate the quotient for 3.24 ÷ 82
9.25=2pi r solve for r
List five numbers that belong to the 5 (mod 6) numbers. Alternate phrasing, list five numbers that satisfy equation x = 5 (mod 6)
prove that for sets SS, AA, BB, and CC, where AA, BB, and CC are subsets of SS, the following equality holds: (A−B)−C=(A−C)−(B−C)
A membership to the gym cost $25 per person in 1995. The membership cost has increased by an average $6 per person for each year since 1995. Write a linear equation for the cost of a gym membership for one person since 1995. What is the cost of a gym membership in 2009?
What is the percentage of nitrogen abundance in copper dinatrate Cu(NO3)2
The perimeter of a rectangular rug is 42 feet. The width is 9 feet. What is the length?