10
algebra

An online store charges $15 per book plus $8 shipping. Another store charges $18 per book with free shipping. After how many books do both stores cost the same?

A

1 book

B

2 books

C

3 books

D

4 books

Correct Answer: C

Choice C is the correct answer. Let bb be the number of books.

Store 1: C1=15b+8C_1 = 15b + 8Store 2: C2=18bC_2 = 18b

Set equal: 15b+8=18b15b + 8 = 18b8=3b8 = 3bb=832.67b = \frac{8}{3} \approx 2.67

Since we need whole books, round up to 3.

  • 2 books: Store 1 = 38,Store2=38, Store 2 = 36 (not equal)
  • 3 books: Store 1 = 53,Store2=53, Store 2 = 54 (close)

💡 Strategic Tip: Break-even problems compare two linear cost models.

Choice A is incorrect because costs are 24vs24 vs 18.

Choice B is incorrect because costs are 39vs39 vs 36.

Choice D is incorrect because costs are 69vs69 vs 72.