A hippopotamus had a mass of $29.4$ kg at birth. At two months old, it had a mass of $78.9$ kg. We need to find the percentage increase in its mass over these two months, rounded to the nearest $1\%$.

ArithmeticPercentage IncreaseWord ProblemRounding
2025/4/30

1. Problem Description

A hippopotamus had a mass of 29.429.4 kg at birth. At two months old, it had a mass of 78.978.9 kg. We need to find the percentage increase in its mass over these two months, rounded to the nearest 1%1\%.

2. Solution Steps

First, we calculate the increase in mass.
Increase=FinalMassInitialMassIncrease = Final Mass - Initial Mass
Increase=78.929.4=49.5Increase = 78.9 - 29.4 = 49.5 kg
Next, we calculate the percentage increase.
PercentageIncrease=(Increase/InitialMass)100Percentage Increase = (Increase / Initial Mass) * 100
PercentageIncrease=(49.5/29.4)100Percentage Increase = (49.5 / 29.4) * 100
PercentageIncrease=1.683673469100Percentage Increase = 1.683673469 * 100
PercentageIncrease=168.3673469Percentage Increase = 168.3673469
Now, we round the percentage increase to the nearest 1%1\%.
RoundedPercentageIncrease=168%Rounded Percentage Increase = 168\%

3. Final Answer

The hippopotamus's mass increased by approximately 168%.

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