Question

In a wall of area 3700 sq.ft. , 79 mural paintings are done. The remaining area of the wall is then used to hang some banners. If each banner takes up 6 sq.ft. on the wall, the maximum number of banners that can be hung on the remaining area will be _____

• A. 9
• B. 10
• C. 11
• D. 12

Answer 1

The correct option is C 11

Total area of the wall = 3700 sq. ft
Total number of mural paintings to be done = 79

Remaining area on the wall will be the remainder of 3700 $÷$ 79

Calculating 3700 $÷$ 79 by long division method, we get:

4 6
________
7 9 ) 3 7 0 0 79 $\times$ 4 = 316
3 1 6 79 $\times$ 6 = 474
_______
5 4 0
4 7 4
_______
6 6

The remainder of 3700 $÷$ 79 is 66.

∴ Remaining area on the wall where the banners would be hung up = 66 sq.ft

Now, this remaining area is to be equally divided among some banners.

The area of each banner = 6 sq.ft

Hence, the number of banners that can be hung in 66 sq.ft. = 66 $÷$ 6

Calculating 66 $÷$ 6 by long division method, we get:

1 1
_____
6 ) 6 6
6
_____
0 6
6
_____
0

Upon calculation, we get the quotient as 11.

∴ The maximum number of banners that can be hung on the remianing area of the wall is 11.