Question

The ratios of fruit to sugar to water in four different drinks are shown below.

Put the drinks in ascending order based on the fraction of fruit that they contain.
Drink
Lemonade- 1:0:3
Smoothie- 1:0:0
Soda- 1:3:1
Squash- 3:0:1

Answer 1

To determine the fraction of fruit in each drink, the number of parts of fruit is divided by the total number of parts in the drink. The drinks, in ascending order based on the fraction of fruit they contain, are Soda, Lemonade, Squash, and Smoothie.

Step-by-step explanation:

Calculating the Fraction of Fruit in Each Drink

To determine the fraction of fruit in each drink, we must look at the ratios provided:

• Lemonade: 1:0:3 (1 part fruit, 0 parts sugar, 3 parts water)
• Smoothie: 1:0:0 (1 part fruit, 0 parts sugar, 0 parts water)
• Soda: 1:3:1 (1 part fruit, 3 parts sugar, 1 part water)
• Squash: 3:0:1 (3 parts fruit, 0 parts sugar, 1 part water)

The fraction of fruit in each drink is found by dividing the number of parts fruit by the total number of parts in the drink. Here are the calculations:

• Lemonade: 1 / (1+0+3) = ⅔
• Smoothie: 1 / (1+0+0) = 1
• Soda: 1 / (1+3+1) = ⅗
• Squash: 3 / (3+0+1) = ¾

Now, we can order the drinks by the fraction of fruit from least to greatest:

1. Soda: ⅗
2. Lemonade: ⅔
3. Squash: ¾
4. Smoothie: 1