Ruth is purchasing dried apricots and cherries to use in her homemade trail mix, which requires at least 235 grams of fruit in total. Each dried apricot weighs 6 grams and each dried cherry weighs 2 grams.Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.x= the number of dried apricotsy= the number of dried cherriesChoices:(A) 2x+6y≥235(B) 2+x+6+y≥235(C) 6x+2y≥235(D) 6+x+2+y≥235
Q. Ruth is purchasing dried apricots and cherries to use in her homemade trail mix, which requires at least 235 grams of fruit in total. Each dried apricot weighs 6 grams and each dried cherry weighs 2 grams.Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.x= the number of dried apricotsy= the number of dried cherriesChoices:(A) 2x+6y≥235(B) 2+x+6+y≥235(C) 6x+2y≥235(D) 6+x+2+y≥235
Given Information: We are given that each dried apricot weighs 6 grams and Ruth's variable for the number of dried apricots is x. Therefore, the total weight of the dried apricots is 6 grams times the number of apricots, which is 6x.
Apricot Weight Calculation: Similarly, each dried cherry weighs 2 grams and Ruth's variable for the number of dried cherries is y. Therefore, the total weight of the dried cherries is 2 grams times the number of cherries, which is 2y.
Cherry Weight Calculation: To find the total weight of the dried apricots and cherries combined, we add the weight of the apricots 6x to the weight of the cherries 2y, which gives us 6x+2y.
Total Weight Calculation: Ruth needs at least 235 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 235 grams. Therefore, the inequality that represents this situation is 6x+2y≥235.
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