Question

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

Answer 1

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

Answer 2

mass of empty basket: 1.21 kg

Step-by-step 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