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Badia is the apprentice at the local screws and nails factory. The other day she made some six - inch nails. Charli who works next to her made one and half times as many as Badia, but Siva made twice as many as Charli. They all made a total of 110 six - inch nails.
45. How many did Badia make?
46. How many did Charli make?
47. How many did Siva make?

Respuesta :

Answer:

   45. 20

   46. 30

   47. 60

Step-by-step explanation:

Let :

  • Badia = x
  • Charli = 1 1/2x = 1.5x
  • Siva = 2(1.5)x = 3x

Solving

  • x + 1.5x + 3x = 110
  • 5.5x = 110
  • x = 20

Solution

  • Badia = 20
  • Charli = 30
  • Siva = 60

semsee45

Answer:

Badia made 20 nails

Charli made 30 nails

Siva made 60 nails

Step-by-step explanation:

Let b = number of nails Badia made

Let c = number of nails Charli made

Let s = number of nails Siva made

Given:

  • Charli made one and half times as many as Badia

⇒ Equation 1:    c = 1.5b

Given:

  • Siva made twice as many as Charli

⇒ Equation 2:    s = 2c

Given:

  • They all made a total of 110 nails

⇒ Equation 3:    b + c + s = 110

Substitute Equation 1 into Equation 2:

⇒ s = 2(1.5b) = 3b

Substitute s = 3b and Equation 1 into Equation 3 and solve for b:

⇒ b + c + s = 110

⇒ b + 1.5b + 3b = 110

⇒ 5.5b = 110

⇒ b = 20

Substitute found value of b into Equation 1 and solve for c:

⇒ c = 1.5b

⇒ c = 1.5(20)

⇒ c = 30

Substitute found value of c into Equation 2 and solve for s:

⇒ s = 2c

⇒ s = 2(30)

⇒ s = 60

Therefore:

  • Badia made 20 nails
  • Charli made 30 nails
  • Siva made 60 nails

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