There are 40 coins in a piggy bank of which are dirnes. What is the least possible amount of money that could be
in the piggy bank?
The least possible amount of money is .

Question

There are 40 coins in a piggy bank of which $$ 75 \% $$ are dirnes. What is the least possible amount of money that could be in the piggy bank? The least possible amount of money is $$ \$ \square $$.

UpStudy AI · Accepted Answer

Let the coins come in two types. We are told that 75% of the 40 coins are dirhams. That is

$$
0.75\times40=30\quad \text{dirham coins.}
$$

Thus the remaining

$$
40-30=10\quad \text{coins}
$$

are of another type.

To obtain the least possible total amount we want each coin’s value to be as small as possible. In most monetary systems a coin is not allowed to have zero value, so we choose the smallest available denomination for each type. In our case we assume that in a system where 1 dirham coin is available, its smallest unit is $$\$1$$. For the other coins we assume that the smallest coin is the one–cent coin, i.e. $$\$0.01$$.

Hence, the 30 dirham coins contribute an amount

$$
30\times \$1 = \$30
$$

and the 10 other coins contribute

$$
10\times \$0.01 = \$0.10.
$$

Adding these we find the least possible total amount is

$$
\$30 + \$0.10 = \$30.10.
$$

Thus, the least possible amount of money in the piggy bank is $$\$30.10$$.
The least possible amount of money in the piggy bank is \$30.10.

There are 40 coins in a piggy bank of which are dirnes. What is the least possible amount of money that could be
in the piggy bank?
The least possible amount of money is .

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There are 40 coins in a piggy bank of which are dirnes. What is the least possible amount of money that could be in the piggy bank? The least possible amount of money is .

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Latest Arithmetic Questions

There are 40 coins in a piggy bank of which are dirnes. What is the least possible amount of money that could be
in the piggy bank?
The least possible amount of money is .