a store manager selects 30 cartons of eggs and finds 4 cartons that have cracked eggs. if the store has 105 cartons of eggs how many cartons can she expect to have cracked eggs in them
4 * 105/30 = ____
To find out how many cartons the store manager can expect to have cracked eggs in them, we can set up a proportion.
Let's first find out the proportion of cartons with cracked eggs out of the 30 cartons selected by the store manager:
Proportion of cartons with cracked eggs = (number of cartons with cracked eggs) / (total number of cartons selected)
Proportion of cartons with cracked eggs = 4 / 30
Now, we can use this proportion to estimate the number of cartons with cracked eggs out of the total number of cartons in the store. Let's call this number "x":
Proportion of cartons with cracked eggs = (number of cartons with cracked eggs in the store) / (total number of cartons in the store)
4 / 30 = x / 105
To solve for x, we can cross-multiply:
4 * 105 = 30 * x
420 = 30 * x
Now, let's divide both sides by 30 to isolate x:
420 / 30 = x
14 = x
Therefore, the store manager can expect to have approximately 14 cartons with cracked eggs in them out of the total 105 cartons in the store.