Stephanie has a recipe that calls for 2/3 tablespoons of vanilla to make 3 1/2 dozen cookies.How many tablespoons of vanilla are needed per dozen cookies
Answers
Step-by-step explanation:
Method 1, with proporions.
1/2 of vanilla is in the same ratio to 1 1/3 of salt as 6 3/4 of vanilla to x of salt. Let us write it as a proportion:
1/2 6 3/4
____ = ____
1 1/3 x
Now we can multiply both sides by x:
x*1/2
____ = 6 3/4
1 1/3
Next step is to divide both sides by 1/2 and multiply by 1 1/3.
(1 1/3)(6 3/4)
x = ___________
1/2
To divide by a fraction we need to flip it and to multiply. Then we can gather all numerators and denominators as one fraction.
4*27*2
x=(1 1/3)(6 3/4)*2= (4/3)(27/4)*2 =_______
3*4
As we see in the resulting fraction we can cancel its denominator completely.
x=9*2=18.
Method 2, with ratios.
We compute how many 1/2 teaspoons are in 6 3/4 teaspoons:
6 3/4÷ 1/2= (6 3/4) *1= (27/4)*2=27/2
Thus the amount of stuff the recipe was increased in 27/2 times.
Increasing salt accordingly:
(1 1/3)*(27/2)=(4/3)(27/2)=18.
It depends on what you study. If the problem is for fraction properties, then use Method 2. If you consider proportions, then Method 1.
Answer:
1/2 table spoon vanilla is needed