Question

The main wall of the museum is 8536 inches wide and each painting has a width of 97 inches. The following calculation shows the number of paintings that can be hung on the wall.


Find the missing numbers A and B.

• A. $A=776$ and $B=8$
• B. $A=7760$ and $B=8$
• C. $A=776$ and $B=80$
• D. $A=7760$ and $B=80$

Answer 1

The correct option is B $A=7760$ and $B=8$

Length of wall of the museum $=8536$ inches.
Each painting has a width of $97$ inches.

∴ To find number of paintings, we have to divide $8536$ by $97$.

So, by applying distibutive property the number $8536$ can be written as $7760+776$.

∴ We can calculate $8536÷97$ as $8536÷97=(7760÷97)+(776÷97)$

Upon calculating the numbers by applying box method, we get:



Therefore, the dividend is broken as:
$8536=7760+776$.

And, the final quotient will be $=80+8=88$.

We get the same quotient by using the following method as well:


Comparing this to the given calculation, we find the unknown numbers as follows:

$A=7760$ and $B=8$.

Hence, the calculation can be completed as: