4

Set 5: Systems of Equations (Intermediate)

Explanation

Answer: C

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

✓ Correct
D.

20

Detailed Explanation

Choice C is correct. 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 \\ 2 c + 3 b = 120 \end{cases} Step 1: I Strategic Tip: Word problems with totals naturally lead to systems of equations. Choice A is incorrect because 2(25)+3(25)=1251202(25) + 3(25) = 125 \neq 120. Choice B is incorrect because 2(35)+3(15)=1151202(35) + 3(15) = 115 \neq 120. Choice D is incorrect because 2(20)+3(30)=1301202(20) + 3(30) = 130 \neq 120.

Key Steps:

The correct answer is 30

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
B: Choice B is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

🎯 Keep Practicing!

Master all sections for your best SAT score