Simplify the following expression: (60 + 64 ÷ 4 of 4) × {1000 ÷ ((10 of (3 + 2)) × 2 of 5)} − 28 + (100 × 3 of 3).

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Accepted Answer

Step-by-step solution:

1. Understand that 'of' means multiplication.

2. Simplify inside the parentheses and brackets stepwise:

Expression: (60 + 64 ÷ 4 of 4) × {1000 ÷ ((10 of (3 + 2)) × 2 of 5)} − 28 + (100 × 3 of 3)

Step 1: Calculate 4 of 4 = 4 × 4 = 16

Step 2: Calculate 64 ÷ 16 = 4

Step 3: Calculate inside first parentheses: 60 + 4 = 64

Step 4: Calculate (3 + 2) = 5

Step 5: Calculate 10 of 5 = 10 × 5 = 50

Step 6: Calculate 2 of 5 = 2 × 5 = 10

Step 7: Calculate denominator inside braces: (50) × (10) = 500

Step 8: Calculate 1000 ÷ 500 = 2

Step 9: Calculate first big term: 64 × 2 = 128

Step 10: Calculate 3 of 3 = 3 × 3 = 9

Step 11: Calculate 100 × 9 = 900

Step 12: Put all together: 128 − 28 + 900 = 100 + 900 = 1000

Wait, this contradicts the options. Let's re-check step 9 and 12 carefully.

Re-check Step 9: 64 × 2 = 128 (correct)

Step 12: 128 − 28 + 900 = (128 − 28) + 900 = 100 + 900 = 1000

But option 1 is 600 and marked correct initially. Let's verify if any mistake.

Check Step 2: 64 ÷ 4 of 4 = 64 ÷ (4 × 4) = 64 ÷ 16 = 4 (correct)

Check Step 7: (10 of (3 + 2)) × 2 of 5 = 50 × 10 = 500 (correct)

Check Step 11: 100 × 3 of 3 = 100 × (3 × 3) = 100 × 9 = 900 (correct)

Final calculation: (60 + 4) × 2 − 28 + 900 = 64 × 2 − 28 + 900 = 128 − 28 + 900 = 100 + 900 = 1000

Therefore, the correct answer is 1000.

Hence, option 2 is correct.

Answer

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