10
algebra

A coffee shop offers two drink sizes. Maya bought 3 small drinks and 2 large drinks for $18. If each small drink costs $4, what is the cost of one large drink?

A

\2$

B

\3$

C

\4$

D

\5$

Correct Answer: B

Choice B is the correct answer. Let ss be the cost of a small drink and LL be the cost of a large drink.

Given: s=4s = 4 and 3s+2L=183s + 2L = 18

Step 1: Substitute s=4s = 4: 3(4)+2L=183(4) + 2L = 1812+2L=1812 + 2L = 18

Step 2: Solve for LL: 2L=62L = 6L=3L = 3

Solution: One large drink costs $33.

Verification: 3(4)+2(3)=12+6=183(4) + 2(3) = 12 + 6 = 18

💡 Strategic Tip: When one variable is given, substitute it immediately to reduce the problem to a single equation.

Choice A is incorrect because3(4)+2(2)=12+4=16 eq183(4) + 2(2) = 12 + 4 = 16 \ eq 18.

Choice C is incorrect because3(4)+2(4)=12+8=20 eq183(4) + 2(4) = 12 + 8 = 20 \ eq 18.

Choice D is incorrect because3(4)+2(5)=12+10=22 eq183(4) + 2(5) = 12 + 10 = 22 \ eq 18.