Chitra used wheat flour&plain flour to bake some cakes.19%of the flour used was wheat flour.if she used 475g of flour,find:
A) the total mass of flour she used for the cakes
B) the mass of plain flour she used
A) They already told you the total of all flour used was 475 g
B) 0.81 x 475 g = ____
What is "plain flour" made of? Isn't it mostly wheat also?
To find the answers, we can follow these step-by-step calculations:
Step 1: Calculate the mass of wheat flour used.
Given that 19% of the flour used was wheat flour, we can find the mass of wheat flour by multiplying the total mass of flour used by the percentage of wheat flour used:
Mass of wheat flour = 19% * 475g
Mass of wheat flour = (19/100) * 475g
Mass of wheat flour = 90.25g (rounded to two decimal places)
Step 2: Calculate the mass of plain flour used.
To find the mass of plain flour used, we subtract the mass of wheat flour used from the total mass of flour used:
Mass of plain flour = Total mass of flour used - Mass of wheat flour used
Mass of plain flour = 475g - 90.25g
Mass of plain flour = 384.75g (rounded to two decimal places)
Step 3: Calculate the total mass of flour used.
This is already given as 475g.
Therefore, the answers are:
A) The total mass of flour she used for the cakes is 475g.
B) The mass of plain flour she used is 384.75g.
To solve this problem, we can set up a system of equations. Let's call the total mass of flour Chitra used for the cakes "T" and the mass of plain flour she used "P".
A) To find the total mass of flour Chitra used for the cakes (T), we know that 19% of the flour used was wheat flour. Therefore, the mass of wheat flour used can be calculated as:
W = 0.19T
We are also given that the total mass of flour used is 475g, so we can write another equation:
W + P = 475
To find the total mass of flour (T), we need to substitute the value of W from the first equation into the second equation:
0.19T + P = 475
B) To find the mass of plain flour (P) used, we can rearrange the equation from part A:
P = 475 - 0.19T
Now, we have a system of equations:
0.19T + P = 475
P = 475 - 0.19T
To solve this system, we can use the substitution method or eliminate one variable. Let's use the elimination method by multiplying the second equation by -1 to eliminate P:
-1(P) = -1(475 - 0.19T)
-P = -475 + 0.19T
Now, we can add this equation to the first equation:
0.19T + P + -P = 475 + -475 + 0.19T
0.19T = 0.19T
This equation tells us that the value of T can be any real number, as long as it satisfies the condition of 0.19T = 0.19T. Since we are looking for an actual value, we should assume that T has a specific value.
To calculate T, we can choose any value for P and substitute it into one of the original equations. Let's assume P = 300g:
0.19T + 300 = 475
0.19T = 475 - 300
0.19T = 175
T = 175 / 0.19
T ≈ 921.05
Therefore, the total mass of flour Chitra used for the cakes (T) is approximately 921.05g.
To find the mass of plain flour she used (P), substitute the value of T into the second equation:
P = 475 - 0.19T
P = 475 - 0.19(921.05)
P ≈ 475 - 174.89
P ≈ 300.11
Therefore, the mass of plain flour Chitra used is approximately 300.11g.