Question
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Butter Crate Snacks sends a selection of treats in the mail each month. Sidney bought a 4 . month subscription for a friend. She used a one-time coupon and received \( \$ 8 \) off the total cost. Sidney paid \( \$ 40 \) in all. How much does each month normally cost?

Ask by Medina Edwards. in the United States
Dec 03,2024

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Tutor-Verified Answer

Answer

The normal monthly cost is $12.

Solution

Let \( x \) be the normal monthly cost of the subscription. Since Sidney bought a 4-month subscription, the total normal cost before applying the coupon would be: \[ 4x \] Sidney used a one-time coupon that gave her \( \$ 8 \) off the total cost, so the equation for the total cost she paid is: \[ 4x - 8 = 40 \] Now, we can solve for \( x \): 1. Add \( 8 \) to both sides of the equation: \[ 4x = 40 + 8 \] \[ 4x = 48 \] 2. Divide both sides by \( 4 \): \[ x = \frac{48}{4} \] \[ x = 12 \] Thus, the normal cost for each month is \( \boxed{12} \) dollars.

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To figure out the normal monthly cost, we first need to determine the total amount Sidney would have paid without the coupon. Since she spent $40 after an $8 discount, the total cost before the discount would be $40 + $8 = $48. Now, since she bought a 4-month subscription, we can calculate the normal monthly cost by dividing the total cost by 4. So, the normal monthly cost is \( \frac{48}{4} = \$12 \). Therefore, each month normally costs $12.

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