Respuesta :
Jamie needs 1 bags of carrot
Solution:
Given that,
Jamie used 1/3 of a bag of carrots to make 1/6 of a gallon of stew
Jamie recipe is for 1 gallon of stew
Let "x" be the carrots needed for 1 gallon of stew
From given statement,
[tex]\frac{1}{3} \text{ carrots } = \frac{1}{6} \text{ gallon of stew }\\\\"x" carrots = 1 \text{ gallon of stew }[/tex]
This forms a proportion and we can solve the sum by cross multiplying
[tex]x \times \frac{1}{6} = \frac{1}{3} \times 1\\\\x = \frac{1}{3} \times 6\\\\x = 2[/tex]
Thus 2 bags of carrot is needed to make 1 gallon of stew
If she need to make [tex]\frac{1}{2}[/tex] of the recipe, then bags of carrot needed are,
[tex]\rightarrow 2 \times \frac{1}{2} = 1[/tex]
Thus she needs 1 bags of carrots