To determine the total number of cans of beans on the 9 shelves in the grocery store, let's break down the problem into manageable parts and then sum up the results.
### 1. Calculate the Total Cans on the Bottom Shelves
First, we need to find the number of cans on the bottom 6 shelves. Each bottom shelf holds 22 cans. Therefore:
Number of Cans on One Bottom Shelf:
[tex]\[ 22 \text{ cans} \][/tex]
Number of Bottom Shelves:
[tex]\[ 6 \][/tex]
Total Cans on Bottom Shelves:
[tex]\[ 22 \text{ cans/shelf} \times 6 \text{ shelves} = 132 \text{ cans} \][/tex]
### 2. Calculate the Total Cans on the Top Shelves
Next, we determine the number of cans on the top 3 shelves. Each top shelf holds 44 cans. Thus:
Number of Cans on One Top Shelf:
[tex]\[ 44 \text{ cans} \][/tex]
Number of Top Shelves:
[tex]\[ 3 \][/tex]
Total Cans on Top Shelves:
[tex]\[ 44 \text{ cans/shelf} \times 3 \text{ shelves} = 132 \text{ cans} \][/tex]
### 3. Calculate the Total Number of Cans
Now, we add together the totals from the bottom and top shelves to get the overall number of cans on all 9 shelves.
Total Cans on Bottom Shelves:
[tex]\[ 132 \][/tex]
Total Cans on Top Shelves:
[tex]\[ 132 \][/tex]
Total Number of Cans on All Shelves:
[tex]\[ 132 \text{ cans (bottom)} + 132 \text{ cans (top)} = 264 \text{ cans} \][/tex]
Therefore, the total number of cans on the 9 shelves was
[tex]\[ 264 \text{ cans} \][/tex].
