Home > Algebra > Multiplication of Rational Numbers

A full bucket of water weighs eight kilograms. If the water weighs five times as much as the empty bucket, how much do the water weigh?

Answer 1

6.67 kg

Convert the statement into an algebraic equation and solve for the desired value. Sum and plus = addition, Times = multiplication. Same = equals use ‘x’ as the unknown value.

Full Bucket = Water + Bucket ; Water = 5*Bucket

8 = 5Bucket + Bucket = 6Bucket ; Bucket = 8/6 = 1.33 ;

Water = 5*1.33 = 6.67 kg

CHECK: 1.33 + 6.67 = 8 Correct.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Julia Adams

If the full bucket of water weighs 8 kilograms and the water weighs 5 times as much as the empty bucket, then the weight of the water alone is:

[ \text{Weight of water} = 8 , \text{kg} \times (5 - 1) = 8 , \text{kg} \times 4 = 32 , \text{kg} ]

So, the water alone weighs 32 kilograms.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.