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The mass of a basket containing 3 balls was 3.64 kilograms. The mass of the same basket and 5 balls is 5.26 kilograms. Find the mass of the empty basket in kilograms.

a. the mass of a empty basket is ___
b. explain your answer (in short)

please help

Respuesta :

fieryanswererft

Answer:

mass of empty basket: 1.21 kg

Explanation:

the mass of basket is constant. Let the mass of basket be "b" and mass of each balls be "m"

Make equations:

  • b + 3(m) = 3.64  ___ equation 1
  • b + 5(m) = 5.26  ___ equation 2

solve them simultaneously,

  • 3.64 - 3(m) = 5.26 - 5(m)
  • -3(m) + 5(m) = 5.26 - 3.64
  • 2(m) = 1.62
  • m = 0.81 kg

mass of basket,

  • b = 3.64 - 3(m)
  • 3.64 - 3(0.81 )
  • 1.21 kg
  1. Bucket be x
  2. balls be y

Now

  • x+3y=3.64=>x=3.64-3y--(1)
  • x+5y=5.26=>x=5.26-5y

So

  • 3.64-3y=5.26-5y
  • -3y+5y=5.26-3.64
  • 2y=1.62
  • y=0.81kg

So

  • x=3.64-3(0.81)=3.64-2.43=1.21kg