Question

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?

Answer 1

1 bag of carrots will need to make
`(1)/(2)` the recipe

Explanation:

Given:

`(1)/(6)` of gallon of stew =
`(1)/(3)` bags of carrots

∴ 1 gallon of stew =
`(1)/(3) * 6 = (6)/(3) =2` bags of carrots

Jamie's recipe is for 1 gallon of stew as given and we need to find for
`(1)/(2)` the recipe.

1 gallon of stew = 2 bags of carrots

`(1)/(2)` gallon of stew =
`2 * (1)/(2)= (2)/(2)= 1` bag of carrots.

1 bag of carrots will need to make
`(1)/(2)` the recipe.

Answer 2

1 bag

Explanation:

We use unitary method to address this problem.

The number of bags of carrots required to make
`(1)/(6)` gallons of stew is
`(1)/(3)`

The number of bags of carrots required to make 1 gallon of stew is
`6*`
`(1)/(3)`=
`2`

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

required number of carrot bags for half the recipe is
`(2)/(2)=1`