Question

If Erica teaches 15 fewerthan twice as many as Bo, how many classes does each instructor teach per week?

Answer 1

STEP - BY - STEP EXPLANATION

What to find?

The number each instructor teach per week.

Given:

Total number they teach per week =39

let e = number of classes Erica teaches per week and b = the number of classes Bo teaches per week.

e =2b - 15

Step 1

Form the linear equation.

`b+e=39`

Step 2

Substitute e=2b-15 into the above.

`b+2b-15=39`

Step 3

Collect like term.

`b+2b=39+15`
`3b=54`

Step 4

Divide both-side of the equation by 3.

`(3b)/(3)=(54)/(3)`
`b=18`

Step 5

Determine Erica's age.

`\begin{gathered} b+e=39 \\ \\ e=39-b \\ \\ e=39-18 \\ \\ e=21 \end{gathered}`

ANSWER

c. 18 Bo; 21 Erica