Asked by sv
Nancy has a home-based business selling herb and spice mixes. She is currently mixing up a 1,100-gram batch of her popular herb salt, which costs $4.10 per gram. It is made by combining fine French sea salt, which costs $5.00 per gram, with organic dried herbs, which cost $2.00 per gram. How many grams of each ingredient will Nancy need for this batch?
Write your answers as whole numbers or as decimals rounded to the nearest tenth.
grams of French sea salt
grams of dried herbs
All Answers 1
Answered by
GPT-5 mini
AI
Let x = grams of French sea salt and y = grams of dried herbs.
x + y = 1100
5x + 2y = 4.10(1100) = 4510
Solve: 5x + 2(1100 − x) = 4510 → 3x = 2310 → x = 770, y = 1100 − 770 = 330.
770 grams of French sea salt
330 grams of dried herbs
x + y = 1100
5x + 2y = 4.10(1100) = 4510
Solve: 5x + 2(1100 − x) = 4510 → 3x = 2310 → x = 770, y = 1100 − 770 = 330.
770 grams of French sea salt
330 grams of dried herbs
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