Set 9: Systems of Equations

Choice C is correct. Choice C is the correct answer. Let $b$ = bagels and $m$ = muffins. System: $\begin{cases} b + m = 30 \\ 0.75 b + 1.25 m = 27.50 \end{cases}$ Step 1: Multiply second by 4 to clear decimals: $3b + 5 m = 110$ Step 2: From first: $m = 30 - b$ Step 3: Substitute: $$$3b + 5(30 - b) = 1103b + 150 - 5 b = 110$-2 b = -40b = 20 Solution: 20 bagels Verification: $20+ 10 = 30$ ✓ and $0.75(20) + 1.25(10) = 15 + 12.50 = 27.50$ ✓ Strategic Tip: Multiply to eliminate decimals for easier calculation.