Mathematics: On a certain day, a bakery produced a batch of rolls at a total production cost of $300. On that day, 4 5 of the rolls in the batch were sold, each at a price that was 50 percent greater than the average (arithmetic mean) production cost per roll. The remaining rolls in the batch were sold the next day, each at a price that was 20 percent less than the price of the day before. What was the bakery s profit on this batch of rolls

Her got 60 pounds from North AmericaStep-by-step explanation:...

On a certain day, a bakery produced a batch of

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16.03.2022

$108

Step-by-step explanation:

Let number of rolls produced =

Total production cost = $300

Average production cost can be found by dividing the total production cost with the number of rolls produced.

Average production cost per roll = $ $\frac{300}{x}$

$\frac{4}{5}$ of the rolls were sold at a price 50% higher than the average production cost per roll.

i.e.

Money earned by selling $\frac{4}{5}$ of the rolls:

$\dfrac{4}{5}x \times \dfrac{300}{x}\times \dfrac{150}{100}\\\Rightarrow \$360$

Money earned by selling the remaining the remaining rolls:

$\dfrac{1}{5}x\times \dfrac{300}{x}\times \dfrac{80}{100}\\\Rightarrow \$48$

Total money earned by selling all the rolls = $360 + $48 = $408

Total profit can be calculated by subtracting the total production cost from the total money earned.

Total profit = $408 - $300 = $108

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