Question

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. ____ cans

Explanation:

Step1: Find the percentage of not dented cans

The percentage of dented cans is 4%, so the percentage of not dented cans is $100\% - 4\% = 96\% = 0.96$.

Step2: Let the total number of cans be \( x \)

We know that 96% of \( x \) is 1200. So we can set up the equation \( 0.96x = 1200 \).

Step3: Solve for \( x \)

To find \( x \), we divide both sides of the equation by 0.96: \( x=\frac{1200}{0.96} \).
Calculating \( \frac{1200}{0.96}=1250 \).

Answer:

1250