# Car factory

Carmaker now produce 2 cars a day more than last year, so the production of 70312 cars will save just one full working day. How many working days needed to manufacture 70312 cars last year?

Result

w =  188 d

#### Solution:

$(x+2) \cdot \ (w-1)=70312 \ \\ w x=70312 \ \\ \ \\ (70312/w+2) \cdot \ (w-1)=70312 \ \\ \ \\ (70312+2*w)*(w-1)=70312*w \ \\ \ \\ (70312+2 \cdot \ w) \cdot \ (w-1)=70312 \cdot \ w \ \\ 2w^2 -2w -70312=0 \ \\ \ \\ a=2; b=-2; c=-70312 \ \\ D=b^2 - 4ac=2^2 - 4\cdot 2 \cdot (-70312)=562500 \ \\ D>0 \ \\ \ \\ w_{1,2}=\dfrac{ -b \pm \sqrt{ D } }{ 2a }=\dfrac{ 2 \pm \sqrt{ 562500 } }{ 4 } \ \\ w_{1,2}=\dfrac{ 2 \pm 750 }{ 4 } \ \\ w_{1,2}=0.5 \pm 187.5 \ \\ w_{1}=188 \ \\ w_{2}=-187 \ \\ \ \\ \text{ Factored form of the equation: } \ \\ 2 (w -188) (w +187)=0 \ \\ \ \\ w=w_{1}=188 \ \\ x_{1}=70312/w=70312/188=374 \ \text{a/d} \ \\ w=w_{1}=188 \ \text{d}$

Checkout calculation with our calculator of quadratic equations.

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

Tips to related online calculators
Check out our ratio calculator.
Do you have a system of equations and looking for calculator system of linear equations?

## Next similar math problems:

1. Lee is
Lee is 8 years more than twice Park's age, 4 years ago, Lee was three times as old. How old was Lee 4 years ago?
2. Three workshops
There are 2743 people working in three workshops. In the second workshop works 140 people more than in the first and in third works 4.2 times more than the second one. How many people work in each workshop?
3. Legs
Cancer has 5 pairs of legs. The insect has 6 legs. 60 animals have a total of 500 legs. How much more are cancers than insects?
4. Unknown amount of money
Damian and Denis split an unknown amount in the ratio of 5:4 . Damian got six euros more than Denis. Calculate an unknown amount. Determine how much money got Damian and how Denis.
5. School
School attend 792 children, boys and girls ratio is 4:5. How many more girls go to school (than boys)?
6. 925 USD
Four classmates saved an annual total 925 USD. The second save twice as the first, third 35 USD more than the second and fourth 10 USD less than the first. How USD save each of them?
7. Square roots
What is equal to the product of the square roots of 295936?
8. Stones 3
Simiyu and Nasike each collected a number of stones in an arithmetic lesson. If Simiyu gave Nasike 5 stones, Nasike would have twice as many stones as Simiyu. If initially, Simiyu had five stones less than Nasike how many stones did each have?
9. Theorem prove
We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
10. Linsys2
Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144
11. Elimination method
Solve system of linear equations by elimination method: 5/2x + 3/5y= 4/15 1/2x + 2/5y= 2/15
12. Calculation
How much is sum of square root of six and the square root of 225?
13. Three unknowns
Solve the system of linear equations with three unknowns: A + B + C = 14 B - A - C = 4 2A - B + C = 0
14. Guppies for sale
Paul had a bowl of guppies for sale. Four customers were milling around the store. 1. Rod told paul - I'll take half the guppies in the bowl, plus had a guppy. 2. Heather said - I'll take half of what you have, plus half a guppy. The third customer, Na
15. Numbers at ratio
The two numbers are in a ratio 3:2. If we each increase by 5 would be at a ratio of 4:3. What is the sum of original numbers?
16. Flowers 2
Cha cruz has a garden. The ratio roses to tulips is 2 : 5, the ratio of roses to orchids is 7 : 6. Cha cruz wonders what the ratio of tulips to orchids is. If Cha cruz has 183 plants, how many of each kind are there?
17. Golden ratio
Divide line of length 14 cm into two sections that the ratio of shorter to greater is same as ratio of greater section to whole length of the line.