Question

Sally's summer punch recipe is a combination of lemonade and fruit punch. Sally uses 6 cups of lemonade for every 8 cups of fruit punch. August made a recipe with 35 cups of liquid total, 15 of which were lemonade. Explain if August made the recipe using the correct ratios

Answer 1

Answer:

August made the recipe using the incorrect ratio

Step-by-step explanation:

* Lets explain how to solve the problem

- Sally's recipe is a combination of lemonade and fruit

- Sally uses 6 cups of lemonade for every 8 cups of fruit

∵ Sally uses 6 cups of lemonade for every 8 cups of fruit

∴ The ratio of sally recipe is 6 : 8

- Simplify the terms of the ratio by divide them by 2

∴ The ratio of sally recipe is 3 : 4

- August made a recipe with 35 cups of liquid total

- He made 15 cups of them lemonade

∵ The total number of cups August made is 35

∵ 15 of them are lemonade

∴ The number of fruit cups = 35 - 15 = 20 cups

∵ August mad 15 cups of lemonade for every 20 cups of fruit

∴ The ratio of August recipe is 20 : 15

- Simplify the terms of the ratio by divide them by 5

∴ The ratio of August recipe is 4 : 3

∵ The ratio of Sally recipe is 3 : 4

∵ The ratio of August recipe is 4 : 3

∵ The ratio 3 : 4 ≠ the ratio 4 : 3

∴ August made the recipe using the incorrect ratio

Answer 2

Answer:

Yes, August made the recipe using the correct ratios.

Step-by-step explanation:

Consider the provided information.

Sally uses 6 cups of lemonade for every 8 cups of fruit punch.

August made a recipe with 35 cups of liquid total, 15 of which were lemonade.

August used total 35 cups of liquid out of which 15 cups are lemonade.

That means she used 20 cups of fruit punch because 15+20=35

Now find that whether the ratio of lemonade and fruit punch of Sally is same as August.

For Sally the ratio of lemonade and fruit punch is:

$\frac{Lemonade}{Fruit\ punch}=\frac{6}{8}$

$\frac{Lemonade}{Fruit\ punch}=\frac{3}{4}$

For August the ratio of lemonade and fruit punch is:

$\frac{Lemonade}{Fruit\ punch}=\frac{15}{20}$

$\frac{Lemonade}{Fruit\ punch}=\frac{3}{4}$

Both the ratios are same.

Hence, August made the recipe using the correct ratios.