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A baker uses (3)/(4) kg of flour, (5)/(6) kg of sugar, and (1)/(3) kg of cocoa. He sells the mixture for GHC 120 per kg. Find the total mass of the mixture and the total sales.
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Step-by-step solution
12 stepsb)
Add the masses of flour, sugar, and cocoa.
Mass of flour kg
Mass of sugar kg
Mass of cocoa kg
Total mixture kgFind the least common multiple (LCM) of the denominators 4, 6, and 3.
The LCM of 4, 6, and 3 is 12.
Convert each fraction to an equivalent fraction with a denominator of 12 and add them.
Total mixture kg
The fraction is already in its simplest form because 23 is a prime number and 12 is not a multiple of 23.
The total mixture is .
c)
Use the total mass from part (b), which is kg.
Selling price per kg = GHC 120
Calculate the total sales by multiplying the total mass by the selling price per kg.
Total sales
The total sales are .
- a)
Express 0.000684 in standard form.
To move the decimal point after the first non-zero digit (6), we move it 4 places to the right.
Round to 3 significant figures.
The number 6.84 already has 3 significant figures.
So, 0.000684 in standard form and rounded to 3 significant figures is .b)
Solve the equation .
Divide both sides by 8.
Express 8 as a power of 2.
Substitute this back into the equation.
Since the bases are the same, equate the exponents.
The solution is .
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