Dance ensembles

4 dance ensembles were dancing at the festival. None had less than 10 and more than 20 members. All dancers from some of the two ensembles were represented in each dance. First, 31 participants were on the stage, then 32, 34, 35, 37, and 38. How many dancers did the individual ensembles have?

Correct answer:

a =  14
b =  17
c =  18
d =  20

Step-by-step explanation:

10<a,b,c,d<20 a=14 b=17 c=18
d=20   Verifying Solution:  s1=a+b=14+17=31 s2=a+c=14+18=32 s3=a+d=14+20=34 s4=b+c=17+18=35 s5=b+d=17+20=37 s6=c+d=18+20=38

Did you find an error or inaccuracy? Feel free to write us. Thank you!


Tips to related online calculators
Do you solve Diofant problems and looking for a calculator of Diofant integer equations?

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

Related math problems and questions: