Question

The total weight of 30 bags of flour and 4 bags of sugar is 42.6 kg. If each bag of sugar weighs 0.75 kg, what is the weight of each bag of flour?

Answer 1

The answer is: Each bag of flour weighs 1,32 kg. 

If we the total weight of the bags is given, and we know both the number of bags of flour and sugar, and we also know the weight of each bag of sugar, then we have to find the unknown, which is X. 30 times X plus 4 times the weight of a bag of sugar would equal 42.6kg. Next step is to put the unknown on one side and the known values on the other side. We have 30 times X equals 42.6 minus 4 times 0.75. 
To find X we need to divide the value with 30, or to sum up 

30X + 4*0.75 = 42.6
30X + 3 = 42.6
X = (42.6 - 3) / 30
X = 1.32 kg

Answer 2

The weight of each bag of flour = 1.32 kg

Further explanation

The division operation is one of the basic arithmetic operations

Common signs used are $\large{\boxed{:}}}$ or $\large{\boxed{\slash}}$

The division is written by placing the numerator above the denominator with a horizontal line between them or use a slash with the numerator's position and the denominator is parallel

The division is actually an iterative subtraction operation (as many as the number of divisors)

Division is the opposite of multiplying

The general form of division can be stated by:

$\large{\boxed{\bold{divident:divisor=quotient+remainder}}$

example:

7: 3 = 2 + 1

• 7 = dividend
• 3 = divisor
• 2 = quotient
• 1 = remainder

Division operation statement:

"7 divided by 3 equals 2 remainder 1"

The form of division can also be expressed in terms of fractions

In the example above, the form of mixed fractions  is

$\displaystyle \frac{7}{3} =2\frac{1}{3}$

Mixed fractions consist of whole number and proper fractions

One variable linear equation is an equation that has a variable and the exponent number is one.  

Can be stated in the form:  

$\large{\boxed{\bold{ax=b}}$

or  

ax + b = c,

where a, b, and c are constants, x is a variable  

• The total weight of 30 bags of flour and 4 bags of sugar is 42.6 kg

we translate this sentence into Arithmetic operations :

Let x = bags of flour

y = bags of sugar

$\displaystyle 30x+4y=42.6~kg$

• each bag of sugar weighs 0.75 kg

Because there are 4 bags of sugar, the total weight bags of sugar :

$\displaystyle = 4\times0.75~kg$

$\boxed{\bold{=3~kg}}$

Equation becomes :

$\displaystyle 30x+4(0.75~kg)=42.6~kg$

$\displaystyle 30x+3~kg=42.6~kg$

$\displaystyle 30x=42.6~kg-3~kg$

$\displaystyle 30x=39.6~kg$

$\displaystyle x={\frac{39.6}{30}$

$\large{\boxed{\bold{x=1.32~kg}}$

Learn more  

the slope-intercept form of the linear equation  

brainly.com/question/1945934  

a graph of a linear equation  

brainly.com/question/1505806  

system of linear equations  

brainly.com/question/11544167  

Keywords : one variable, linear equation , division, bags of flour, sugar, weighs