Question

A toy company manufactures bicycles, tricycles, and cars. It is known that 945 wheels will be needed to manufacture 280 toys in total and in addition, it was determined that 10 fewer bicycles will be manufactured than tricycles. Determine the number of toys of each type that you will make.

172

likes
860 views

Answer to a math question A toy company manufactures bicycles, tricycles, and cars. It is known that 945 wheels will be needed to manufacture 280 toys in total and in addition, it was determined that 10 fewer bicycles will be manufactured than tricycles. Determine the number of toys of each type that you will make.

Expert avatar
Hank
4.8
103 Answers
Definamos las variables:

x = \text{número de bicicletas}
y = \text{número de triciclos}
z = \text{número de autitos}

Sabemos que:

1. Se producirán 10 bicicletas menos que triciclos:
x = y - 10

2. La cantidad total de juguetes es 280:
x + y + z = 280

3. El número total de ruedas es 945:
2x + 3y + 4z = 945

Sustituyendo x = y - 10 en las otras ecuaciones:

(y - 10) + y + z = 280
2(y - 10) + 3y + 4z = 945

Resolviendo primero para z :

2y - 20 + 3y + 4z = 945
5y + 4z - 20 = 945
5y + 4z = 965

De la primera ecuación:

2y + z = 290

Multiplicamos la primera ecuación por 2 para alinear los términos:

4y + 2z = 580

Restamos esta ecuación de la ecuación modificada anterior:

(5y + 4z) - (4y + 2z) = 965 - 580
y + 2z = 385
y = 385 - 2z

Sustituyendo y en la ecuación 2y + z = 290 :

2(385 - 2z) + z = 290
770 - 4z + z = 290
770 - 3z = 290
3z = 480
z = 160

Sustituyendo z de nuevo para encontrar y :

y = 385 - 2(160)
y = 385 - 320
y = 65

Y finalmente x :

x = y - 10
x = 65 - 10
x = 55

Por lo tanto, el número de juguetes de cada tipo es:

x = 55
y = 65
z = 160

Frequently asked questions (FAQs)
What is the derivative of (sin(cos(x)))^2 * (e^(3x))^(4x) with respect to x?
+
What is the value of f(100) for the function f(x) = log x / f(x) = ln x? (
+
What is the product of (x+y)^2 using the product formula?
+
New questions in Mathematics
A pump with average discharge of 30L/second irrigate 100m wide and 100m length field area crop for 12 hours. What is an average depth of irrigation in mm unIt?
Solution to the equation y'' - y' - 6y = 0
A car tire can rotate at a frequency of 3000 revolutions per minute. Given that a typical tire radius is 0.5 m, what is the centripetal acceleration of the tire?
Solve: −3(−2x+23)+12=6(−4x+9)+9.
The ratio of tomatoes to red apples is 2:5. If there are 20 tomaoes in the garden, how many red apples are there?
Supposed 60% of the register voters in a country or democrat. If a sample of 793 voters is selected, what is the probability that the sample proportion of Democrats will be greater than 64% round your answer to four decimal places
In a store, a person carries 14 kilos of rice and 28 kilos of flour. In what ratio are the kilos found? (Remember to simplify until you reach an irreducible fraction)
Log(45)
Clara usually walks briskly to the farmers' market and it takes her 22 minutes. Today she walked leisurely and it took 61/2 minutes. How much more time than usual did she take to reach the market today?
prove that if n odd integer then n^2+5 is even
Prove that it is not possible to arrange the integers 1 to 240 in a table with 15 rows and 16 columns in such a way that the sum of the numbers in each of the columns is the same.
I want you to solve this problem as a grade sixth pupil in primary school: 8 Pigs ate 6 bags of fee in 20 days. How long will it take 10 pigs to eat 15 bags of feed eating at the same rate?
Is -11/8 greater than or less than -1.37?
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!
Find the equation of a straight line that has slope 3 and passes through the point of (1, 7) . Write the equation of the line in general forms
What is the percentage of nitrogen abundance in copper dinatrate Cu(NO3)2
The slope of the tangent line to the curve f(x)=4tan x at the point (π/4,4)
Find the orthogonal projection of a point A = (1, 2, -1) onto a line passing through the points Pi = (0, 1, 1) and P2 = (1, 2, 3).
Let f(x)=-1/2x+5 evaluate f(-6)
13/25+7/16