A piggy bank contains 12 dollars' worth of nickels. What is the total weight of the full piggy bank if it weighs 1050 grams when empty?

To determine the total weight of the full piggy bank, we first need to calculate the weight of the nickels inside the bank.

Each nickel weighs 5 grams. To find out how many nickels are present in $12, we need to convert the dollar amount to cents, since each nickel is worth 5 cents. Therefore, $12 is equivalent to 1200 cents.

Next, we divide the total amount in cents by the value of one nickel:

[

\text{Number of nickels} = \frac{1200 \text{ cents}}{5 \text{ cents/nickel}} = 240 \text{ nickels}

]

Now we can calculate the total weight of these 240 nickels:

[

\text{Weight of nickels} = 240 \text{ nickels} \times 5 \text{ grams/nickel} = 1200 \text{ grams}

]

Then, we add the weight of the nickels to the weight of the empty piggy bank to find the total weight:

[

\text{Total weight} = \text{Weight of empty piggy bank} + \text{Weight of nickels} = 1050