Question

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

Answer 1

A) 1 bag of carrots

Explanation:

Answer 2

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,

`(1)/(3) \text{ carrots } = (1)/(6) \text{ gallon of stew }\\\\`

This forms a proportion and we can solve the sum by cross multiplying

`x * (1)/(6) = (1)/(3) * 1\\\\x = (1)/(3) * 6\\\\x = 2`

Thus 2 bags of carrot is needed to make 1 gallon of stew

If she need to make
`(1)/(2)` of the recipe, then bags of carrot needed are,

`\rightarrow 2 * (1)/(2) = 1`

Thus she needs 1 bags of carrots