Katie took a plane to visit her grandparents for the summer. At the airport, she paid to check 3 bags. Since all of her bags were over the weight limit, she had to pay an additional 6 $ fee for each bag. Katie paid a total of 102 $ to check her bags. Which equation can you use to find the amount of money, x, it costs to check a bag that's under the weight limit? Choices: (A)3x + 6 = 102 (B)3(x + 6) = 102 (C)6(x + 3) = 102 (D)6x + 3 = 102

Question

Katie took a plane to visit her grandparents for the summer. At the airport, she paid to check 3 bags. Since all of her bags were over the weight limit, she had to pay an additional 6 $ fee for each bag. Katie paid a total of 102 $ to check her bags. Which equation can you use to find the amount of money, x, it costs to check a bag that's under the weight limit?   Choices: (A)3x + 6 = 102 (B)3(x + 6) = 102 (C)6(x + 3) = 102 (D)6x + 3 = 102

Bytelearn · Accepted Answer

Identify cost and fees:  Identify the total cost and the additional fees. Katie paid $102 in total and an additional $6 for each overweight bag. She had 3 bags. Set up equation for base cost:  Set up the equation to find the base cost per bag, x, without the overweight fee. Since the additional fee is $6 per bag and there are 3 bags, the additional total is 3 * $6 = $18. Subtract this from the total paid to find the total cost for the bags without the overweight fee: $102 - $18 = $84.

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