If the symbols are replaced as follows: $\div$ means $-$, $-$ means $ imes$, $ imes$ means $+$, and $+$ means $\div$, what is the value of the expression:

$$77 \div 7 imes 17 - 49 + 7 = ?$$

Question

If the symbols are replaced as follows: $\div$ means $-$, $-$ means $	imes$, $	imes$ means $+$, and $+$ means $\div$, what is the value of the expression:

$$77 \div 7 	imes 17 - 49 + 7 = ?$$

Accepted Answer

**Solution:**

1. Given the replacements:
   - $\div$ means $-$
   - $-$ means $	imes$
   - $	imes$ means $+$
   - $+$ means $\div$

2. Original expression:
   $$77 \div 7 	imes 17 - 49 + 7$$

3. Replace the symbols according to the given rules:
   - $77 \div 7$ becomes $77 - 7$
   - $7 	imes 17$ becomes $7 + 17$
   - $17 - 49$ becomes $17 	imes 49$
   - $49 + 7$ becomes $49 \div 7$

So the expression becomes:
   $$77 - 7 + 17 	imes 49 \div 7$$

4. Evaluate step-by-step following BODMAS:
   - First, multiplication and division from left to right:
     - $17 	imes 49 = 833$
     - $833 \div 7 = 119$

- Now the expression is:
     $$77 - 7 + 119$$

- Perform subtraction and addition from left to right:
     - $77 - 7 = 70$
     - $70 + 119 = 189$

**Answer:** $189$

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