Math

QuestionThe weight of 6 pieces of butter and a bag of sugar is 3.8lb3.8 \mathrm{lb}. If the sugar weighs 1.4lb1.4 \mathrm{lb}, find the weight of each butter piece.

Studdy Solution

STEP 1

Assumptions1. The total weight of6 pieces of butter and a bag of sugar is3.8 lb. The weight of the bag of sugar is1.4 lb3. All pieces of butter have the same weight

STEP 2

First, we need to find the total weight of the6 pieces of butter. We can do this by subtracting the weight of the bag of sugar from the total weight.
Weightbutter=TotalweightWeightsugarWeight_{butter} = Total\, weight - Weight_{sugar}

STEP 3

Now, plug in the given values for the total weight and the weight of the sugar to calculate the weight of the butter.
Weightbutter=3.8lb1.lbWeight_{butter} =3.8\, lb -1.\, lb

STEP 4

Calculate the total weight of the butter.
Weightbutter=3.8lb1.4lb=2.4lbWeight_{butter} =3.8\, lb -1.4\, lb =2.4\, lb

STEP 5

Now that we have the total weight of the butter, we can divide this by the number of pieces () to find the weight of each piece of butter.
Weightbutterpiece=Weightbutter/NumberofpiecesWeight_{butter\, piece} = Weight_{butter} / Number\, of\, pieces

STEP 6

Plug in the values for the total weight of the butter and the number of pieces to calculate the weight of each piece of butter.
Weightbutterpiece=2.4lb/6Weight_{butter\, piece} =2.4\, lb /6

STEP 7

Calculate the weight of each piece of butter.
Weightbutterpiece=2.4lb/6=0.4lbWeight_{butter\, piece} =2.4\, lb /6 =0.4\, lbEach piece of butter weighs0.4 lb.

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