Mathematics, 02.07.2019 11:30 quece233

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 weight of each piece of butter?

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Answer from: emmaishere69

0.4 lbs each.

Further explanation

Given:

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

Question:

What is the weight of each piece of butter?

The Process:

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

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

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

Step-2: 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.

Quick steps:

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

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

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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

Answer from: juan9688

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

Further explanation:

The total weight of 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 pieces of butter is .

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

$\text{Total weight}=6x+1.4$

Given that total weight of 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 to obtain the value of 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

2. To solve one variable linear equation

3. Fractional expression simplification

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.

Answer from: Quest

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺

Answer from: Quest

Omg that is a big question and weird words and i’m only 5

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The total weight of 6 pieces of butter and a bag of sugar is 3.8 ib. if the weight of the bag of sug...