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AMO 2027 Grades 6-7 SET 19 - Self-study Question 15

AMO · AMO 2027 Grades 6-7 SET 19 - Self-study

Question 15

Samantha offers two different packages of yoga classes at her yoga studio. She offers two “hot yoga sessions” and three “zero gravity yoga sessions” at a total cost of $\$400$. She also offers four hot yoga sessions and two zero gravity sessions at a price of $\$440$. Samantha wants to offer a larger package for the long-time clients in which the cost must exceed $\$800$. If Samantha does not wish to include more than 13 sessions for the long-time client package, will she be able to create this package for her clients?


A. No, because the closest package that she can offer consists of three hot yoga and three zero gravity yoga sessions.

B. No, because the closest package that she can offer consists of four hot yoga and four zero gravity yoga sessions.

C. Yes, because she can offer five hot yoga and five zero gravity yoga sessions.

D. Yes, because she can offer six hot yoga and six zero gravity yoga sessions.

E. There are not enough data to reach any conclusion.

**Editorial note for this self-study exercise:** Assume each type of session has a fixed price used additively in every package, with no package-specific discounts. Choose the option whose complete statement is correct and enter its letter.