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?

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?

Answer

Explanation:

Step1: Find the percentage of non - dented cans

The percentage of dented cans is 4%, so 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 the equation is $0.96x = 1200$.

Step3: Solve the equation for $x$

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

Answer:

1250