A number 𝑘𝑘 is tripled and then 44 is added. This result is halved to obtain −13−13.
Question
A number 𝑘 is tripled and then 44 is added. This result is halved to obtain −13.
Solution
Sure, let's solve this step by step:
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Let's denote the unknown number as k. According to the problem, this number is tripled, which gives us 3k.
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Then, 44 is added to the tripled number, resulting in 3k + 44.
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This result is then halved, which gives us (3k + 44) / 2.
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According to the problem, this final result equals -13. So, we can set up the following equation: (3k + 44) / 2 = -13.
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To solve for k, first multiply both sides of the equation by 2 to get rid of the fraction: 3k + 44 = -26.
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Then, subtract 44 from both sides of the equation: 3k = -70.
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Finally, divide both sides of the equation by 3 to solve for k: k = -70 / 3 = -23.33 (rounded to two decimal places).
So, the number k is approximately -23.33.
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