Bar Model Questions
3) Find the value of X in the Opposite Bar Model.
Step 1. Understand the Bar Model setup: The top bar is 9,870, the bottom bar is 3,204, and the middle bar is divided into X and an unknown part. We assume the sum of the two parts in the middle bar equals the difference or relationship involving the top and bottom bars.
Step 2. Usually, the opposite bar model implies the middle bar represents the difference between the top and bottom bars.
Step 3. Calculate the difference:
$$X + \text{unknown} = 9,870 - 3,204 = 6,666$$
Since only X is labeled and no other value is given for the other part, we assume the other part equals the bottom bar length 3,204.
Step 4. Therefore,
$$X + 3,204 = 9,870$$
Step 5. Solve for X:
$$X = 9,870 - 3,204 = 6,666$$
4) Solve for A in
$$A + 546 = 800$$
Step 1. Subtract 546 from both sides:
$$A = 800 - 546 = 254$$
5) Find how many pieces the bakery sold during the rest of the day.
Step 1. Total pieces sold: 1,753
Step 2. Pieces sold in the morning: 678
Step 3. Subtract morning sales from total:
$$1,753 - 678 = 1,075$$
Step 4. The bakery sold 1,075 pieces during the rest of the day.