a supermarket manager estimates that 4% of the canned items in each shipment are dented. how many cans…

a supermarket manager estimates that 4% of the canned items in each shipment are dented. how many cans should the manager request in the next shipment so that 1,200 cans are expected to be not dented? type the number in the box.

a supermarket manager estimates that 4% of the canned items in each shipment are dented. how many cans should the manager request in the next shipment so that 1,200 cans are expected to be not dented? type the number in the box.

Answer

Explanation:

Step1: Find the percentage of non - dented cans

If 4% of cans are dented, then the percentage of non - dented cans is $100%-4% = 96%=0.96$.

Step2: Set up an equation to find the total number of cans

Let the total number of cans be $x$. We know that the number of non - dented cans is 1200 and the proportion of non - dented cans is 0.96. So, $0.96x = 1200$.

Step3: Solve for $x$

$x=\frac{1200}{0.96}=1250$.

Answer:

1250