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
96 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 formula for the chain rule in calculus?
+
What is the sum of the mixed numbers 4 2/3 and 1 1/4?
+
What is the product of 12 multiplied by 15?
+
New questions in Mathematics
A=m/2-t isolate t
Using a remarkable product you must factor the expression: f(x) =36x^2-324 and you are entitled to 5 steps
3(2+x)-2(2x+6)=20-4x
How many percent is one second out a 24 hour?
what is 3% of 105?
5) A family with a father, mother and 3 children must sit on five chairs in a row and the only restriction is that the mother must be at one end. In how many different ways can they be seated?
58+861-87
Two numbers differ by 7, and the sum of their squares is 29. Find the numbers.
A bird randomly chooses to land on 1 of 12 perches available in its aviary. Determine the Probability of it landing on a perch numbered 8 and then on a perch marked with a prime number; take into account that he never lands on the same perch in the sequence.
By direct proof, how can you prove that “The sum of any three consecutive even integers is always a multiple of 6”.
A recurring sequence is one where elements repeat after completing one standard. If the sequence AB8C14D96AB8C1... is recurring its twentieth term is equal to: (A) B. (B) 8. (C) A. (D) 6. (E) D.
From 1975 through 2020 the mean annual gain of the Dow Jones Industrial Average was 652. A random sample of 34 years is selected from this population. What is the probability that the mean gain for the sample was between 400 and 800? Assume the standard deviation is 1539
Determine the increase of the function y=4x−5 when the argument changes from x1=2 to x2=3
The two sides of the triangle are 12 cm and 5 cm, and the angle between the sides is 60°. Cover the area of ​​the triangle!
392929-9
Sabendo+que+o+tri%C3%A2ngulo+ABC+%C3%A9+ret%C3%A2ngulo+e+que+um+de+seus+%C3%A2ngulos+mede+30+quanto+mede+o+terceiro+ tri%C3%A2ngulo
We have received our p&l statement back from accounts. The board has asked for an innovation hub. What items should we prioritise reviewing to decide if we can afford an innovation hub?
4m - 3t + 7 = 16
Solve the system of equations by the addition method. 0.01x-0.08y=-0.1 0.2x+0.6y=0.2
(3b)⋅(5b^2)⋅(6b^3)