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stellarik [79]
2 years ago
10

the total weight of 6 pieces of butter and a bag of sugar is 3.8 Ib. if the weight of the bag of sugar is 1.4 Ib, what is the we

ight of each piece of butter?
Mathematics
2 answers:
iogann1982 [59]2 years ago
8 0

The weight of each piece of butter is \boxed{\bf 0.4\text{ lb}}.

Further explanation:

The total weight of 6 pieces of butter and the weight of a bag of sugar is equal to \bf 3.8\text{ lb}.

It is given that the weight of the bag of sugar is 1.4\text{ lb}.

Now, let the weight of each piece of butter to be x\text{ lb}.

Then the weight of 6 pieces of butter is 6x.

Therefore, the total weight of 6 pieces of butter and one bag of sugar is calculated as,

\text{Total weight}=6x+1.4

Given that total weight of 6 pieces of butter and one bag of sugar is equal to 3.8 \text{ lb}.

Then, the total weight in the form of an equation can be written as,

\boxed {6x+1.4=3.8}

Subtract 1.4 on both sides of the above equation as follows:

\begin{aligned} 6x+1.4-1.4&=3.8-1.4\\6x&=2.4 \end{aligned}

Now, divide both sides of above equation by 6 to obtain the value of x as follows:

\begin{aligned} \dfrac{6x}{6} &=\dfrac{2.4}{6} \\x&=0.4 \end{aligned}

Thus, the weight of each piece of butter is \boxed{\bf 0.4\text{ lb}}.

Learn more:

1. Linear equation application brainly.com/question/788903

2. To solve one variable linear equation brainly.com/question/1682776

3. Fractional expression simplification brainly.com/question/894273

Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Linear equations

Keywords: Weight, pieces, butter, bag, sugar, total, lbs, equations, algebraic equations, linear, subtract, 6x+1.4=3.8, x=0.4, divide, total weight, each piece of butter.

baherus [9]2 years ago
5 0

0.4 lbs each.

<h3>Further explanation</h3>

<u>Given: </u>

  • The total weight of 6 pieces of butter and a bag of sugar is 3.8 Ib.
  • The weight of the bag of sugar is 1.4 Ib

<u>Question: </u>

What is the weight of each piece of butter?

<u>The Process: </u>

The two steps for obtaining the weight of each piece of butter are as follows:

<u>Step-1:</u> the total amount of butter is the total bag of butter and sugar subtracted by the weight of the bag of sugar.

\boxed{ \ 3.8 \ lbs - 1.4 \ lbs = 2.4 \ lbs \ }

<u>Step-2:</u> the total amount of butter divided by the number of pieces of butter is the the weight of each piece of butter.

\boxed{ \ 2.4 \ lbs \div 6 \ pieces = \boxed{ \ 0.4 \ lbs/piece \ } \ }

Let's also consider the following quick steps.

<u>Quick steps: </u>

\boxed{ \ \frac{(3.8 - 1.4) \ lbs}{6 \ pieces} = \boxed{ \ 0.4 \ lbs/piece \ } \ }

Therefore, the weight of each piece of butter is 0.4 lbs.

<h3>Learn more </h3>
  1. What is the cost of the toy car? brainly.com/question/5282516
  2. How much netting did Mrs.Nguyen use per goal? brainly.com/question/13174287    
  3. How much punch is in each bowl? brainly.com/question/1878521

Keyword: the total weight, 6 pieces of butter, a bag of sugar is 3.8 Ib, if the weight of the bag of sugar is 1.4 Ib, each piece, subtracted, divide

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