Question

The given image shows the number of bricks in each bag. All the bricks need to be arranged in piles of 10.
(i) Are there the same number of bricks in each bag?
(ii) How many piles can be made?
(iii) How many bricks will be left loose?

• A. (i) No; (ii) 5 piles; (iii) 8 bricks
  
• B. (i) No; (ii) 6 piles; (iii) 8 bricks
  
• C. (i) Yes; (ii) 5 piles; (iii) 6 bricks
  
• D. (i) Yes; (ii) 7 piles; (iii) 7 bricks

Answer 1

The correct option is B (i) No; (ii) 6 piles; (iii) 8 bricks


Say:
We have to identify and compare the number of bricks in each bag, find out the number of piles that can be made, and the number of bricks left loose.

Steps:
$\bullet$ There are 3 rods and 7 dots representing the number of bricks in bag 1.
$\bullet$ We know that 1 rod = 10 and 1 dot = 1 unit cube = 1
$\bullet$ So, bag 1 = 37
$\bullet$ There are 2 rods and 11 dots representing the number of bricks in bag 2.
$\bullet$ 1 rod = 10 unit cubes. So here, 11 dots = 11 units cubes = 1 rod and 1 units cube
$\bullet$ So, bag 2 = 31
$\bullet$ Therefore, we can say that bag 1 has more bricks compared to bag 2.
$\bullet$ Total number of bricks = 37 + 31 = 68
$\bullet$ The total number of bricks are to be arranged in piles of 10.
$\bullet$ We can break down 68 as 6 Tens and 8 Ones.
$\bullet$ Therefore, we can conclude that 6 piles will be made and 8 bricks will be left loose.
$\bullet$ Hence, Option B is correct.

WB: If required, use the whiteboard to represent the problem.