Bo teaches **19** classes and Brica teaches **27** classes per week

**Step-by-step explanation:**

Bo and Brica are yoga instructors

- They teach 46 yoga classes each week
- Brica teaches 11 fewer than twice as many as Bo

We need to find how many classes each instructor teaches per week

Assume that Bo teaches x classes per week

∵ **Bo** teaches **x** classes per week

∵ Brica teaches 11 fewer than twice as many as Bo

∵ Twice means times 2 and 11 fewer is - 11

- Multiply x by 2 and subtract 11 from the product

∴ **Brica** teaches **2x - 11** classes per week

∵ They teach 46 classes per week

- Add the number of their classes and equate the sum by 46

∴ **x + 2x - 11 = 46**

- Add the like terms in the left hand side

∴ 3x - 11 = 46

- Add 11 to both sides

∴ 3x = 57

- Divide both sides by 3

∴ **x = 19**

∵ Bo teaches x classes per week

∴ **Bo** teaches **19 **classes per week

∵ Brica teaches 2x - 11 classes per week

∴ **Brica** teaches 2(19) - 11 = **27** classes per week

**Bo teaches 19 classes and Brica teaches 27 classes per week**

**Learn more:**

You can learn more about the linear equations in brainly.com/question/11306893

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