Question

Brian decided to make the same recipe in exercise 2 for 4 people.How many cups of these liquid ingredients did she need for 8 people?

(exercise 2 is number 2 in the picture)

Answer 1

Explanation:

The ingredients of the recipe is for 6 people.

The recipe calls for 6 people milk needed =
`2(2)/(3)` cups

=
`(8)/(3)` cups

for 1 person milk needed =
`((8)/(3))/(6)`

=
`(8)/(3* 6)`

=
`(8)/(18)`

=
`(4)/(9)` cups of milk

Brian decided the recipe for 4 people.

For 4 people milk needed =
`(4)/(9)* 4`

=
`(16)/(9)`

=
`1(7)/(9)` cup of milk

For 8 people milk needed =
`(4)/(9)* 8`

=
`(32)/(9)`

=
`3(5)/(9)` cup of milk

The recipe calls for 6 people oil needed =
`(1)/(4)` cups

for 1 person oil needed =
`((1)/(4))/(6)`

=
`(1)/(24)`

for 4 people oil needed =
`(1)/(24)* 4`

=
`(4)/(24)`

=
`(1)/(6)` cups

For 8 people oil needed =
`(1)/(24)* 8`

=
`(8)/(24)`

=
`(1)/(3)` cups

Brian needed milk for 4 people
`1(7)/(9)` cups

and milk for 8 people
`3(5)/(9)` cups

Brian needed oil for 4 people
`(1)/(6)` cups

and oil for 8 people
`(1)/(3)` cups

Answer 2

6 people number of cup of milk = 2 2/3 cups = 8/3 cups.

1 people number of cup of milk = 8/3 ÷ 6 = 8/3 × 1/6 = 4/9 cup of milk.

2 people number of cup of milk = 2× 4/9 cup of milk = 8/9 cup of milk.

8 people number of cup of milk = 8/3 + 8/9 = 24/9 + 8/9

= 32/9 = 3 5/9 cups of milk.

6 people number of cup of oil = 1/4.

1 people number of cup of oil = 1/4 ÷ 6 = 1/4 × 1/6 = 1/24.

2 people number of cup of oil = 2 × 1/24 = 1/12.

8 people number of cup of oil = 1/4 + 1/12 = 4/12 + 1/12 = 5/12 cup of oil .

Therefore, she need
`3(5)/(9)` cups of milk and
`(5)/(12)` cup of oil.