Stacey is making a trail mix for the school field trip. The recipe shows the amount of each ingredient needed to make 6 bags. If Stacey follows the recipe, which statement is true?
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Answer:
Option A: For 18 bags of trail mix , She needs 4.5 cups of peanuts.
Step-by-step explanation:
Given :
Amount of ingredients needed to make 6 bags of trail mix.
3 cups of granola .
1 cup of raisins .
1.5 cups of peanuts .
0.5 cup of cranberries
0.75 cup of chocolate chips .
Solution :
Option A : For 18 bags of trail mix , She needs 4.5 cups of peanuts.
Since we are given that for 6 bags we require cups of peanuts = 1.5
For 1 bag we require cups of peanuts =[tex]\frac{1.5}{6}[/tex]
For 18 bag we require cups of peanuts =[tex]\frac{1.5}{6}\times18[/tex]
=[tex]4.5[/tex]
Hence Option A is correct .
Option B : The ratio of granola to cranberries is 1.5 to 1
Since we are given that 3 cups of granola and 0.5 cup of cranberries
So, ratio = 3:0.5=6:1
Hence Option B is wrong.
Option C : For 24 bags of trail mix , She needs 2.5 cups of chocolate chips.
Since we are given that for 6 bags we require cups of chocolate chips= 0.75.
For 1 bag we require cups of chocolate chips =[tex]\frac{0.75}{6}[/tex]
For 24 bag we require cups of chocolate chips =[tex]\frac{0.75}{6}\times24[/tex]
=[tex]3[/tex]
Hence Option C is wrong .
Option D : For 18 bags of trail mix , She needs 10 cups of cranberries.
Since we are given that for 6 bags we require cups of cranberries. = 0.5
For 1 bag we require cups of cranberries. =[tex]\frac{0.5}{6}[/tex]
For 18 bag we require cups of cranberries. =[tex]\frac{0.5}{6}\times18[/tex]
=[tex]1.5[/tex]
Hence Option D is wrong .
Thus If Stacey follows the recipe Option A is true.