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Todd orders pictures from a photographer. Each picture costs $7.50. A one-time shipping fee of $4.25 is added to the cost of the order. The total cost of Todd’s order before tax is $116.75. Write and solve the equation to find out how many pictures, p, did Todd order? Show your work.

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Final answer:

To find out how many pictures Todd ordered, we can use the equation 7.50 * p + 4.25 = 116.75 to solve for p. Todd ordered 15 pictures.

Step-by-step explanation:

To find out how many pictures Todd ordered, we can set up an equation.

Let p represent the number of pictures Todd ordered.

The cost of each picture is $7.50, so the cost of p pictures is 7.50 * p.

There is also a one-time shipping fee of $4.25, so the total cost of Todd's order before tax is 7.50 * p + 4.25.

Given that the total cost is $116.75, we can write the equation:

7.50 * p + 4.25 = 116.75

To solve for p, we can subtract 4.25 from both sides:

7.50 * p = 112.50

Then divide both sides by 7.50:

p = 15

Todd ordered 15 pictures.

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