Warehouses

To four warehouses is going cement in 25 kg bags. To first one third, to second quarter of the total. The third store got two thirds of the rest, and the last 310 tons came to fourth. How many cement is in all warehouses and how much got every one?

Correct result:

t (total) =  2232 ton
m1 =  744 ton
m2 =  558 ton
m3 =  620 ton
m4 =  310 ton

Solution:

m1+m2+m3+m4=t t3+t4+23(t−t3+t4)+310=t 536t=310 t=2232 tonm_1+m_2 + m_3 + m_4 = t \ \\ \dfrac{t}{3} + \dfrac{t}{4} + \dfrac{2}{3}(t-\dfrac{t}{3} + \dfrac{t}{4}) + 310 = t \ \\ \dfrac{5}{36} t = 310 \ \\ t= 2232 \ \text{ton}
m1=t3=744 tonm_1 = \dfrac{t}{3} = 744 \ \text{ton}
m2=t4=558 tonm_2 = \dfrac{t}{4} = 558 \ \text{ton}
m3=512t=620 tonm_3 = \dfrac{5}{12}t = 620 \ \text{ton}
m4=310 tonm_4 = 310 \ \text{ton}

Try another example


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...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Tips to related online calculators
Need help calculate sum, simplify or multiply fractions? Try our fraction calculator.
Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?

You need to know the following knowledge to solve this word math problem:

Next similar math problems:

  • In fractions
    ant An ant climbs 2/5 of the pole on the first hour and climbs 1/4 of the pole on the next hour. What part of the pole does the ant climb in two hours?
  • Cakes
    cookies_1 On the bowl were a few cakes. Jane ate one-third of them, Dana ate a quarter of those cakes that remained. a) What part (of the original number of cakes) Dana ate? b) At least how many cakes could be (initially) on thebowl?
  • Jam cakes
    buchty Mom baked a third of plum jam cakes, one third cheesecakes and 18 poppy. How many cakes she had bake?
  • Six te 2
    eq1 If 3t-7=5t, then 6t=
  • Fraction to decimal
    decimals Write the fraction 3/22 as a decimal.
  • Zdeněk
    tanks_3 Zdeněk picked up 15 l of water from a 100-liter full-water barrel. Write a fraction of what part of Zdeněk's water he picked.
  • 3 children
    cukr_2 3 children had to divide 4 pounds is candy. How much candy did each child get?
  • Equation with one variable
    eq1 Solve the following equation with one unknown: 5(7s + 5) =130
  • Fraction and a decimal
    numbs_11 Write as a fraction and a decimal. One and two plus three and five hundredths
  • Simple equation 10
    eq1_1 35= 7*3*x what is x?
  • Cakes
    buhty_1 1/3 poppy cake, 1/3 apple, 15 pieces of cheese. How many are totally cakes?
  • Addition of Roman numbers
    roman Added together and write as decimal number: LXVII + MLXIV
  • Forest nursery
    stromcek_2 In the forest nursery after winter, they found that 1/10 stems died out of them. For them, they land 193 new spruces. How many spruces are in the forest nursery?
  • Eq1
    eq1_3 Solve equation: 4(a-3)=3(2a-5)
  • Evaluate expression
    numbers Calculate the value of the expression z/3 - 2 z/9 + 1/6, for z = 2
  • Benches
    garden_13 The park has 64 benches. Occupied are by 18 more than empty. How many benches are occupied and empty ?
  • Lengths of the pool
    bazen2_16 Miguel swam 6 lengths of the pool. Mat swam 3 times as far as Miguel. Lionel swam 1/3 as far as Miguel. How many lengths did mat swim?