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Tasty Trunk Treats sends a selection of snacks in the mail each month. Andy bought a 33-month subscription for a friend. He used a one-time coupon and received 55$\$ off the total cost. Andy paid 3737$\$ in all.\newlineWhich equation can you use to find the regular cost, mm, for each month?\newlineChoices:\newline(A) 3(m5)=373(m - 5) = 37\newline(B) 5m3=375m - 3 = 37\newline(C) 3m5=373m - 5 = 37\newline(D) 5(m3)=375(m - 3) = 37

Full solution

Q. Tasty Trunk Treats sends a selection of snacks in the mail each month. Andy bought a 33-month subscription for a friend. He used a one-time coupon and received 55$\$ off the total cost. Andy paid 3737$\$ in all.\newlineWhich equation can you use to find the regular cost, mm, for each month?\newlineChoices:\newline(A) 3(m5)=373(m - 5) = 37\newline(B) 5m3=375m - 3 = 37\newline(C) 3m5=373m - 5 = 37\newline(D) 5(m3)=375(m - 3) = 37
  1. Identify total cost and discount: Identify the total cost Andy paid and the discount applied. Andy paid $37\$37 after a $5\$5 discount for a 33-month subscription.
  2. Set up equation for regular cost: Set up the equation to find the regular monthly cost, mm. The original total cost before the discount is $37\$37 + $5\$5 = $42\$42 for 33 months.
  3. Write equation based on total cost: Write the equation based on the total cost for 33 months. The equation is 3m=$423m = \$42, where mm is the cost per month.
  4. Solve for monthly cost: Solve for mm by dividing both sides of the equation by 33. m=$42/3=$14m = \$42 / 3 = \$14 per month.
  5. Check equation with given choices: Check if the equation fits any of the given choices. Rewriting the original scenario with the discount: 3(m5)=373(m - 5) = 37 fits because 3(145)=3×9=273(14 - 5) = 3 \times 9 = 27, which is incorrect. The correct setup should be 3m5=373m - 5 = 37, where the total cost minus the discount equals what Andy paid.