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
101 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 median of a set of numbers {3, 6, 9, 12, 15, 18}?
+
What is the scientific notation of 5,000,000,000,000?
+
What is the standard deviation of the following data set: 12, 18, 21, 24, 27?
+
New questions in Mathematics
How many percent is one second out a 24 hour?
x/20*100
1. Suppose we have a good whose quantity supplied changed from 100 to 120 units when the price increased from $10 to $12 per unit. Compute the price elasticity of supply using the midpoint method
The sum of two numbers is equal to 58 and the largest exceeds by at least 12. Find the two numbers
∫ √9x + 1 dx
Calculate the value of a so that the vectors (2,2,−1),(3,4,2) and(a,2,3) are coplanar.
The question is using rule 72 determine Kari wants to save 10,000 for a down payment on a house. Illustrate the difference in years it will take her to double her current 5,000 savings based on 6%, 12% and 18% interest rate .
Congratulations, you have saved well and are ready to begin your retirement. If you have $1,750,000.00 saved for your retirement and want it to last for 40 years, and will earn 10.8% compounded monthly: What is the amount of the monthly distribuion? 216.50 How much interest is earned in retirement?
List the remaining zeros of the polynomial with the given zeros Zeros are: 2, 3i, and 3 + i
How to factorise 5y^2 -7y -52
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
A salesperson earns a base salary of $600 per month plus a commission of 10% of the sales she makes. You discover that on average, it takes you an hour and a half to make $100 worth of sales. How many hours will you have to work on average each month for your income to be $2000?
X^3 - x^2 - 4 = 0, what are the values of x?
The average undergraduate cost per tuition, fees, room, and board for all institutions last year was $26,025. A random sample of 40 institutions of higher learning this year indicated that the mean tuition, fees, room, and board for the sample was $27,690, and the population standard deviation is $5492. At the 0.05 level of significance, is there sufficient evidence that the cost has increased? (Remember to follow the steps in hypothesis testing)
A factory produces glass for windows. The thickness X of an arbitrarily selected pane of glass is assumed to be Normally distributed with expectation μ = 4.10 and standard deviation σ = 0.04. Expectation and Standard deviation is measured in millimeters. What is the probability that an arbitrary route has a thickness less than 4.00 mm?
Solve for z: 2z-6=10z+2
How many moles are there in 235 grams of potassium thiosulfate pentahydrate? K2S2O3*5(H2O)
Find the symmetric point to a point P = (2,-7,10) with respect to a plane containing a point Po = (3, 2, 2) and perpendicular to a vector u = [1, -3, 2].
The domain of the function f(x)=x+7x2−144 is (−∞,), ( ,), and ( , ∞).