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Sagot :
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
- Bucket be x
- 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
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