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

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

Answer 2

Option A: For 18 bags of trail mix , She needs 4.5 cups of peanuts.

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 =
`(1.5)/(6)`

For 18 bag we require cups of peanuts =
`(1.5)/(6)*18`

=
`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 =
`(0.75)/(6)`

For 24 bag we require cups of chocolate chips =
`(0.75)/(6)*24`

=
`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. =
`(0.5)/(6)`

For 18 bag we require cups of cranberries. =
`(0.5)/(6)*18`

=
`1.5`

Hence Option D is wrong .

Thus If Stacey follows the recipe Option A is true.