1
algebra

A store sells notebooks for $3 each and pens for $2 each. A customer bought 25 items for $65. How many notebooks were purchased?

A

12 notebooks

B

15 notebooks

C

18 notebooks

D

20 notebooks

Correct Answer: B

Choice B is the correct answer. Let nn = notebooks and pp = pens.

System: {n+p=253n+2p=65\begin{cases} n + p = 25 \\ 3n + 2p = 65 \end{cases}

Step 1: From first: p=25np = 25 - n

Step 2: Substitute: 3n+2(25n)=653n + 2(25 - n) = 653n+502n=653n + 50 - 2n = 65n=15n = 15

Solution: 15 notebooks (and 10 pens)

Verification: 15+10=2515 + 10 = 25 ✓ and 3(15)+2(10)=45+20=653(15) + 2(10) = 45 + 20 = 65

💡 Strategic Tip: One equation for quantity, one for total cost.

**Other choices fail verification.