Question

A caterer knows that, on average, there will be one broken egg in every 3 cartons. A carton contains 12 eggs. The caterer plans to serve 1200 eggs at a breakfast. What is the best estimate for the number of cartons the caterer should buy? A. 97 cartons B. 100 cartons C. 103 cartons D. 112 cartons

Answer 1

Ответ: C. 103 cartons.

Продавец знает, что в среднем в каждых 3 коробках будет одно разбитое яйцо. В коробке содержит 12 яиц.     ⇒

В трёх коробках содержится: 12*3-1=36-1=35 (целых яиц).        ⇒

В одной коробке содержится: 35/3 целых яиц.        

Поставщик планирует подать на завтрак 1200 яиц.    ⇒

$\displaystyle \\The \ number \ of \ cartons=\frac{1200}{\frac{35}{3} } =\frac{1200*3}{35} =\frac{3600}{35}\approx102,857.$

Answer 2

To estimate the number of cartons the caterer should buy, we can start by finding out how many eggs are expected to be broken on average.

The caterer expects one broken egg in every 3 cartons, and each carton contains 12 eggs. So, on average, for every 3 cartons, there will be 1 broken egg. Therefore, for every 12 x 3 = 36 eggs, there will be 1 broken egg.

Now, the caterer plans to serve 1200 eggs at breakfast. To estimate how many cartons are needed, we can divide 1200 by 36 to find out how many sets of 36 eggs (with 1 broken egg each) are needed:

1200 eggs / 36 eggs per set = 33.33 sets

Since you can't buy a fraction of a set, we round up to the nearest whole number of sets because the caterer wouldn't want to run out of eggs. So, the caterer should buy approximately 34 sets of 36 eggs, which is equivalent to:

34 sets x 3 cartons per set = 102 cartons

So, the best estimate for the number of cartons the caterer should buy is 102 cartons, which is closest to option C. Therefore, the answer is C. 103 cartons (rounded up for practicality).