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A bag contains marbles, each weighing 285 g. If the total mass of the marbles in the bag is 1083 Dg, how many marbles are there?

May 12, 2026Mathematics

ScanSolve AI Answer

Answer

\text{38}

3 steps

Here's how to solve the problem:

Identify the mass of one marble.
The mass of one marble is $285\, \text{g}$ .
Convert the total given mass from decagrams (Dg) to grams (g).
Recall that $1\, \text{Dg} = 10\, \text{g}$ .
$\text{Total mass in g} = 1083\, \text{Dg} \times \frac{10\, \text{g}}{1\, \text{Dg}}$ $\text{Total mass in g} = 10830\, \text{g}$
Calculate the number of marbles.
Divide the total mass in grams by the mass of one marble in grams.
$\text{Number of marbles} = \frac{\text{Total mass in g}}{\text{Mass of one marble in g}}$ $\text{Number of marbles} = \frac{10830\, \text{g}}{285\, \text{g}}$ $\text{Number of marbles} = 38$
There will be $\boxed{\text{38}}$ such marbles.

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