Question

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?

Answer 1

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  =$\frac{1.5}{6}$

For 18 bag  we require cups of peanuts  =$\frac{1.5}{6}\times18$

                                                                   =$4.5$

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  =$\frac{0.75}{6}$

For 24 bag  we require cups of chocolate chips  =$\frac{0.75}{6}\times24$

                                                                                 =$3$

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.  =$\frac{0.5}{6}$

For 18 bag  we require cups of cranberries.  =$\frac{0.5}{6}\times18$

                                                                   =$1.5$

Hence Option D is wrong .

Thus If Stacey follows the recipe Option A is true.

Answer 2

For 18 bags of trail mix, she will need 4.5 cups of peanuts