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. the mass of the empty basket is ___ kilograms
Answers
Step-by-step explanation:
Let X is mass of basket
and Y is mass of balls
so 1st equation is
X+3y= 3.64
and
2nd equation is
X+5y=5.26
so we will subtract equation 1st from 2nd
(x+5y)-(x+3y) = 5.26 - 3.64
and we will get
2y = 1.62
It means mass of 2balls = 1.62
and
mass of 1 ball = 1.62/2 = .81
mass of 3 balls: .81 × 3 = 2.43
mass of 5 balls: .81 × 5 = 4.05
mass of empty basket = 3.64 - 2.43 = 1.21
mass of empty basket = 5.26 - 4.05= 1.21
Hope its clear
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Mass of basket containing balls = 3.64 kg
Mass of Basket with 5 balls= 5.26kg
If B is the mass of the basket and b the mass of a ball.
B+3b=3.64 and B+5b=5.26.
From above equation we get,
2b=1.62kg
b=0.81kg
Therefore B=3.64-2.43
=5.26-4.05=1.21kg.
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