Subjects algebra

Lemon Cost

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1. **State the problem:** Robert buys cheese and lemons, paying a total of 24.36. The cheese costs 5.31, and he buys 5 bags of lemons at the same price each. We need to find the cost per bag of lemons, denoted as $x$. 2. **Write the equation:** Total cost = cost of cheese + cost of lemons $$24.36 = 5.31 + 5x$$ 3. **Isolate $x$:** Subtract 5.31 from both sides $$24.36 - 5.31 = 5x$$ $$19.05 = 5x$$ 4. **Solve for $x$:** Divide both sides by 5 $$x = \frac{19.05}{5}$$ $$x = 3.81$$ 5. **Interpretation:** Each bag of lemons costs 3.81. This means Robert pays 3.81 for each bag of lemons.