Solve the following word problem

Question

After 5 adults leave a party, there are 3 times as many as children as adults. After 25 children leave the party, there are twice as many adults as children. What is the original number of adults present in the party?

Answer 1

3(A-5) = C

 

 

2(C-25) = A

 

 

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distributive property (propriedad distributivo)

 

3a - 15 = C

2c - 50 = a

 

 

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Substitutes first equation into the second (substitucion de para el primera ecuacion in dientro el segundo)

2(3a-15) - 50 = a

6a - 30 - 50 = a

6a - 80 = a

5a - 80 = 0

5a = 80

a=16

 

c = 3a- 15 = 3(16) - 15 = 48-15 = 33

 

 

16 adults : adultos

33 children  = 33 ninos