Jamie used 1/3 of a bag of carrots to make 1/6 of a gallon of stew. If Jamie's recipe is for 1 gallon of stew, how many carrots will she need to make 1/2 the recipe?

Answer: 1 bag of carrots

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

Answer:

A) 1 bag of carrots

Step-by-step explanation: