6. The ABC Book Club charges a $40 monthly fee, plus $2 per book read in that month. The Easy Book Club charges a $35 monthly fee, plus $3 per book read in that month. For each club, how many books must be read in 1 month for the total charges from each club to be equal?

The expression for the cost of the ABC Book Club is 2x + 40. The expression for the cost of the Easy Book Club is 3x + 35. To find when the total charge for both book clubs is equal, the two expressions must equal each other. (x = the number of books read)

2x + 40 = 3x + 35

Subtract 35 from both sides.

2x + 5 = 3x

Subtract 2x from both sides.

5 = x

So, the total charge for each club is equal when 5 books are read.

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fichoh fichoh · Answer 2 · 2021-08-21T16:08:44+02:00

The number of books read from both ABC and Easy book clubs must be 5 in other to have a equal monthly charge.

Let the number of books read = b

ABC Book club :

Monthly charge = $40

Fee per book read = $2

Total monthly charge = 40 + 2b - - - - (1)

Easy Book Club :

Monthly charge = $35

Fee per book read = $3

Total monthly charge = 35 + 3b - - - (2)

To obtain an equal monthly charge ;

Equation(1) = Equation(2) and solve for b

40 + 2b = 35 + 3b

40 - 35 = 3b - 2b

5 = b

Hence, to have an equal monthly charge, the number of books read from each club must be 5.

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