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

Respuesta :

1 bag

Step-by-step explanation:

We use unitary method to address this problem.

The number of bags of carrots required to make [tex]\frac{1}{6}[/tex]  gallons of stew is [tex]\frac{1}{3}[/tex]

The number of bags of carrots required to make 1 gallon of stew is [tex]6\times[/tex][tex]\frac{1}{3}[/tex]=[tex]2[/tex]

required number of carrot bags for the recipe of 1 gallon stew is 2

required number of carrot bags for half the recipe is [tex]\frac{2}{2}=1[/tex]

Answer:

1 bag of carrots will need to make [tex]\frac{1}{2}[/tex] the recipe

Step-by-step explanation:

Given:

[tex]\frac{1}{6}[/tex] of gallon of stew = [tex]\frac{1}{3}[/tex]  bags of carrots

∴ 1 gallon of stew = [tex]\frac{1}{3} \times 6 = \frac{6}{3} =2[/tex] bags of carrots

Jamie's recipe is for 1 gallon of stew as given and we need to find for[tex]\frac{1}{2}[/tex] the recipe.

1 gallon of stew = 2 bags of carrots

[tex]\frac{1}{2}[/tex] gallon of stew = [tex]2 \times \frac{1}{2}= \frac{2}{2}= 1[/tex] bag of carrots.

1 bag of carrots will need to make [tex]\frac{1}{2}[/tex] the recipe.

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