To determine the ascending order of drinks based on the fraction of fruit contained, follow these steps:
1. Identify the ratios provided for each drink:
- Smoothie: 1 part fruit, 0 parts sugar, 0 parts water
- Squash: 2 parts fruit, 0 parts sugar, 1 part water
- Lemonade: 1 part fruit, 2 parts sugar, 1 part water
- Soda: 1 part fruit, 0 parts sugar, 2 parts water
2. Calculate the total parts for each drink:
- Smoothie: 1 (fruit) + 0 (sugar) + 0 (water) = 1 part
- Squash: 2 (fruit) + 0 (sugar) + 1 (water) = 3 parts
- Lemonade: 1 (fruit) + 2 (sugar) + 1 (water) = 4 parts
- Soda: 1 (fruit) + 0 (sugar) + 2 (water) = 3 parts
3. Calculate the fraction of fruit in each drink:
- Smoothie: [tex]\( \frac{1}{1} = 1 \)[/tex]
- Squash: [tex]\( \frac{2}{3} \)[/tex]
- Lemonade: [tex]\( \frac{1}{4} \)[/tex]
- Soda: [tex]\( \frac{1}{3} \)[/tex]
4. Arrange the drinks in ascending order based on the calculated fraction of fruit:
- Lemonade: [tex]\( \frac{1}{4} = 0.25 \)[/tex]
- Soda: [tex]\( \frac{1}{3} \approx 0.33 \)[/tex]
- Squash: [tex]\( \frac{2}{3} \approx 0.67 \)[/tex]
- Smoothie: [tex]\( 1 \)[/tex]
Thus, the drinks in ascending order based on the fraction of fruit that they contain are:
1. Lemonade
2. Soda
3. Squash
4. Smoothie
