Subjects algebra

Farm Sizes 1767E4

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1. **Problem:** Mang Berto's farm is 36 acres smaller than Mang Lito's farm. Together, their farms measure 144 acres. Find the size of each farm. 2. **Define variables:** Let $x$ = size of Mang Berto's farm (acres), $y$ = size of Mang Lito's farm (acres). 3. **Write equations from the problem:** - Mang Berto's farm is 36 acres smaller than Mang Lito's: $$x = y - 36$$ - Together, they measure 144 acres: $$x + y = 144$$ 4. **Substitute $x$ from the first equation into the second:** $$ (y - 36) + y = 144 $$ 5. **Simplify and solve for $y$:** $$ y - 36 + y = 144 $$ $$ 2y - 36 = 144 $$ $$ 2y = 144 + 36 $$ $$ 2y = 180 $$ $$ y = \frac{180}{2} $$ $$ y = 90 $$ 6. **Find $x$ using $x = y - 36$:** $$ x = 90 - 36 $$ $$ x = 54 $$ 7. **Answer:** Mang Berto's farm is 54 acres, and Mang Lito's farm is 90 acres.