10
algebra

A school fundraiser sells cookies for $2 each and brownies for $3 each. They sold a total of 50 items and collected $120. How many cookies were sold?

A

25

B

35

C

30

D

20

Correct Answer: C

Choice C is the correct answer. Let cc be cookies and bb be brownies.

System: {c+b=502c+3b=120\begin{cases} c + b = 50 \\ 2c + 3b = 120 \end{cases}

Step 1: I 💡 Strategic Tip: Word problems with totals naturally lead to systems of equations.

Choice A is incorrect because2(25)+3(25)=125 eq1202(25) + 3(25) = 125 \ eq 120.

Choice B is incorrect because2(35)+3(15)=115 eq1202(35) + 3(15) = 115 \ eq 120.

Choice D is incorrect because2(20)+3(30)=130 eq1202(20) + 3(30) = 130 \ eq 120.