Question

Captain has 2,843 gold coins which he shares equally among his 6 crew members. He takes the remainder of the coins himself.

Find the value of $p$ and $t$.

• A. $p$ = 473
  $t$ = 5$
• B. $p$ = 435
  $t$ = 6
• C. $p$ = 5
  $t$ = 473
• D. $p$ = 6
  $t$ = 435

Answer 1

The correct option is A $p$ = 473

$t$ = 5$
Total number of gold coins with the Captain = 2,843
Number of crew members = 6

To determine the number of coins with crew members and Captain, we have to calculate the value of 2843 $÷$ 6 and find out the remainder.

Let us solve this through partial quotient method.

First, we write the values inside the long division bracket.


Now, we find an easier multiple of the divisor 6, which is closer to the dividend 2,843.


We subtract the multiple 2,400 from the dividend 2,843 and write the partial quotients in the right column.


Let's keep repeating the process until the dividend is reduced to zero or the remainder is less than the divisor.


Now, we add all the partial quotients.

∴ Final quotient = 400 + 70 + 3 = 473
Remainder = 5

Now, gold coins are shared equally among the crew members.
∴ Each crew member gets 473 coins.

The Captain takes the remainder coins.
∴ The captain gets 5 gold coins.


Hence, $p$ = 473 and $t$ = 5.