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AMO 2027 Grades 8-9 SET 9 - Self-study Question 7

AMO · AMO 2027 Grades 8-9 SET 9 - Self-study

Question 7

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?
  1. No, because the closest package that she can offer consists of three hot yoga and three zero gravity yoga sessions.
  2. No, because the closest package that she can offer consists of four hot yoga and four zero gravity yoga sessions.
  3. Yes, because she can offer five hot yoga and five zero gravity yoga sessions.
  4. Yes, because she can offer six hot yoga and six zero gravity yoga sessions.
  5. There are not enough data to reach any conclusion.