Which equation can be used to solve for the number of books, b, for which the cost of Plan A equals Plan B?
12b = 75b + 3
12 = 75 + 3b
12b = 3b + 75
12 + 3b = 75
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To find the number of books ( b ) for which the cost of Plan A equals Plan B, we need to set up an equation that directly relates the costs of both plans.
The most appropriate equation from the options provided is:
12b = 3b + 75
Explanation:
– This equation represents that the total cost of Plan A (12 times the number of books) is equal to the cost of Plan B, which includes a fixed cost of 75 plus an additional cost that depends on the number of books (3 times the number of books).
You can solve this equation for ( b ) to determine at what point the costs of the two plans match. If you need more help with solving it, feel free to ask!