When transporting eggs from a village to a city, approximately every tenth egg breaks. What is the smallest number of eggs you need to load into a box in order to deliver at least 100 eggs to the city?
1) 10 – 1 = 9 (pcs.) Eggs out of a dozen are brought to the city whole. 2) 9: 10 = 0.9 (part) of the eggs remain intact during transportation. Let “x” be the number of eggs to be loaded into the box. 0.9 part of the eggs will reach the city intact, which is “x * 0.9” eggs. Knowing that at least 100 eggs must reach the whole, we make an equation. x * 0.9 ≥ 100 x ≥ 100 / 0.9 x ≥ 111,111 … x ≥ 111, (1) This means that at least 112 eggs must be loaded into the box.
Answer: at least 112 eggs need to be loaded.
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