Set 2: Systems of Equations (Intermediate)

Choice C is correct. Choice C is the correct answer. Let $c$ be the cost of a croissant and $m$ be the cost of a muffin. Given: $c = 2$ and $2c + 3 m = 11$ Step 1: Substitute $c = 2$: 2(2) + 3 m = 11$4+ 3 m = 11$$$ Step 2: Solve for $m$: $$$3m = 7$m = \frac{7}{3} \approx 2.33 Solution: One muffin costs approximately $2.$33$. Verification: $2(2) + 3(\frac{7}{3}) = 4 + 7 = 11$ ✓ Strategic Tip: When one variable is given, substitute immediately to simplify. Choice A is incorrect because $2(2) + 3(2) = 4 + 6 = 10 \neq 11$. Choice B is incorrect because $2(2) + 3(2.5) = 4 + 7.5 = 11.5 \neq 11$. Choice D is incorrect because $2(2) + 3(3) = 4 + 9 = 13 \neq 11$.