Men, women and children

On the trip went men, women and children in the ratio 2:3:5 by bus. Children pay 60 crowns and adults 150. How many women were on the bus when a bus was paid 4,200 crowns?

Result

z =  12

Solution:


60d + 150m + 150z = 4200
m = 2k
z = 3k
d= 5k

60d+150m+150z = 4200
2k-m = 0
3k-z = 0
d-5k = 0

d = 20
k = 4
m = 8
z = 12

Calculated by our linear equations calculator.



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
Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?

Following knowledge from mathematics are needed to solve this word math problem:

Next similar math problems:

  1. Circus
    cirkus On the circus performance was 150 people. Men were 10 less than women and children 50 more than adults. How many children were in the circus?
  2. Large family
    family I have as many brothers as sisters and each my brother has twice as many sisters as brothers. How many children do parents have?
  3. Children
    children_3 The group has 42 children. There are 4 more boys than girls. How many boys and girls are in the group?
  4. Geometric sequence 5
    sequence About members of geometric sequence we know: ? ? Calculate a1 (first member) and q (common ratio or q-coefficient)
  5. Students
    skola After the fifth-grade class left 20% of students. In the seventh grade were added 2 pupils, in the eighth 1 pupil, in the ninth, the number has not changed, but it is now tenth students less than it was in the fifth grade. How many pupils are in the 9th.
  6. Guppies for sale
    guppies 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
  7. Target
    elektronicky-terc Peter, Martin and Jirka were fire in a special target, which had only three fields with values of 12, 18 and 30 points. All boys were firing with the same number of arrows and all the arrows hit the target, and the results of every two boys differed in on
  8. Warehouses
    silo_3 In the three warehouses, a total of 70 tons of grain was stored. In the second warehouse was stored 8.5t less and in the third 3.5t more than in the first. How many tons of grain was stored in each warehouse?
  9. Stones 3
    stones 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?
  10. Theorem prove
    thales_1 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?
  11. Ball game
    lopta_3 Richard, Denis and Denise together scored 932 goals. Denis scored 4 goals over Denise but Denis scored 24 goals less than Richard. Determine the number of goals for each player.
  12. Linsys2
    linear_eq_3 Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144
  13. Variable
    eq2_12 Find variable P: PP plus P x P plus P = 160
  14. Null points
    absolute value Calculate the roots of the equation: ?
  15. Linear imaginary equation
    cplx_function Given that ? "this is z star" Find the value of the complex number z.
  16. Intercept with axis
    log_10 F(x)=log(x+4)-2, what is the x intercept
  17. Football match 4
    futball_ball In a football match with the Italy lost 3 goals with Germans. Totally fell 5 goals in the match. Determine the number of goals of Italy and Germany.