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

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 $3\frac{5}{9}$ cups of milk and $\frac{5}{12}$ cup of oil.

Answer 2

Answer:

Step-by-step explanation:

The ingredients of the recipe is for 6 people.

The recipe calls for 6 people milk needed = $2\frac{2}{3}$ cups

                                                                       = $\frac{8}{3}$ cups

for 1 person milk needed = $\frac{\frac{8}{3}}{6}$

                                          = $\frac{8}{3\times 6}$

                                          = $\frac{8}{18}$

                                          = $\frac{4}{9}$ cups of milk

Brian decided the recipe for 4 people.

For 4 people milk needed = $\frac{4}{9}\times 4$

                                            = $\frac{16}{9}$

                                            = $1\frac{7}{9}$ cup of milk

For 8 people milk needed =  $\frac{4}{9}\times 8$

                                            =  $\frac{32}{9}$

                                            = $3\frac{5}{9}$ cup of milk

The recipe calls for 6 people oil needed = $\frac{1}{4}$ cups

for 1 person oil needed = $\frac{\frac{1}{4}}{6}$

                                       = $\frac{1}{24}$

for 4 people oil needed = $\frac{1}{24}\times 4$

                                        = $\frac{4}{24}$

                                        = $\frac{1}{6}$ cups

For 8 people oil needed = $\frac{1}{24}\times 8$

                                        = $\frac{8}{24}$

                                        = $\frac{1}{3}$ cups

Brian needed milk for 4 people $1\frac{7}{9}$ cups

and milk for 8 people $3\frac{5}{9}$ cups

Brian needed oil for 4 people $\frac{1}{6}$ cups

and oil for 8 people $\frac{1}{3}$ cups