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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