Rewa has some hens and some goats. If the total number of animal heads is 100 and the total number of animal feet is 348, then what is the total number of goats with Rewa?

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**Solution:**

1. Let the number of hens be *x* and the number of goats be *y*.

2. Each animal has one head, so total heads equation:
   $$x + y = 100 \quad 	ext{(1)}$$

3. Hens have 2 legs each, goats have 4 legs each, so total feet equation:
   $$2x + 4y = 348 \quad 	ext{(2)}$$

4. Simplify equation (2) by dividing both sides by 2:
   $$x + 2y = 174 \quad 	ext{(3)}$$

5. Substitute equation (1) into equation (3):
   $$x = 100 - y$$
   $$100 - y + 2y = 174$$
   $$100 + y = 174$$
   $$y = 174 - 100 = 74$$

6. Therefore, the number of goats is *74*.

**Answer:** 74

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