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Ruth is purchasing dried apricots and cherries to use in her homemade trail mix, which requires at least 235235 grams of fruit in total. Each dried apricot weighs 66 grams and each dried cherry weighs 22 grams.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of dried apricots\newliney=y = the number of dried cherries\newlineChoices:\newline(A) 2x+6y2352x + 6y \geq 235\newline(B) 2+x+6+y2352 + x + 6 + y \geq 235\newline(C) 6x+2y2356x + 2y \geq 235\newline(D) 6+x+2+y2356 + x + 2 + y \geq 235

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Q. Ruth is purchasing dried apricots and cherries to use in her homemade trail mix, which requires at least 235235 grams of fruit in total. Each dried apricot weighs 66 grams and each dried cherry weighs 22 grams.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of dried apricots\newliney=y = the number of dried cherries\newlineChoices:\newline(A) 2x+6y2352x + 6y \geq 235\newline(B) 2+x+6+y2352 + x + 6 + y \geq 235\newline(C) 6x+2y2356x + 2y \geq 235\newline(D) 6+x+2+y2356 + x + 2 + y \geq 235
  1. Given Information: We are given that each dried apricot weighs 66 grams and Ruth's variable for the number of dried apricots is xx. Therefore, the total weight of the dried apricots is 66 grams times the number of apricots, which is 6x6x.
  2. Apricot Weight Calculation: Similarly, each dried cherry weighs 22 grams and Ruth's variable for the number of dried cherries is yy. Therefore, the total weight of the dried cherries is 22 grams times the number of cherries, which is 2y2y.
  3. Cherry Weight Calculation: To find the total weight of the dried apricots and cherries combined, we add the weight of the apricots 6x6x to the weight of the cherries 2y2y, which gives us 6x+2y6x + 2y.
  4. Total Weight Calculation: Ruth needs at least 235235 grams of fruit in total for her trail mix. This means the combined weight of the apricots and cherries must be greater than or equal to 235235 grams. Therefore, the inequality that represents this situation is 6x+2y2356x + 2y \geq 235.

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