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Answer :
Final answer:
To find the total cost at which the cost will be the same for the two bakeries, we set up an equation and solve for the number of cupcakes. The total cost will be $77, and the number of cupcakes included will be 12.
Explanation:
To find the total cost at which the cost will be the same for the two bakeries, we need to set up an equation and solve for the number of cupcakes. Let's assume the number of cupcakes is 'x'.
For the local bakery, the cost equation is: Total cost = $29 + $4x
For the Sweet Shoppe, the cost equation is: Total cost = $53 + $2x
Setting the two equations equal to each other, we have: $29 + $4x = $53 + $2x
Solving for 'x', we get: $29 - $53 = $2x - $4x. Rearranging the equation, we have: $24 = $2x. Dividing both sides by 2, we find that x = 12.
Therefore, the total cost will be $29 + $4(12) = $29 + $48 = $77, and the number of cupcakes included will be 12.
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