To determine the order of drinks based on their fraction of fruit content in ascending order, we need to calculate the fraction of fruit in each drink. The fraction of fruit is given by the ratio of the fruit content to the total content of the drink (fruit + sugar + water).
Let's go through each drink one by one:
### Smoothie
- Ratio: [tex]\( 1:0:0 \)[/tex]
- Total content: [tex]\( 1 + 0 + 0 = 1 \)[/tex]
- Fraction of fruit: [tex]\( \frac{1}{1} = 1.0 \)[/tex]
### Squash
- Ratio: [tex]\( 2:0:1 \)[/tex]
- Total content: [tex]\( 2 + 0 + 1 = 3 \)[/tex]
- Fraction of fruit: [tex]\( \frac{2}{3} \approx 0.6667 \)[/tex]
### Lemonade
- Ratio: [tex]\( 1:2:1 \)[/tex]
- Total content: [tex]\( 1 + 2 + 1 = 4 \)[/tex]
- Fraction of fruit: [tex]\( \frac{1}{4} = 0.25 \)[/tex]
### Soda
- Ratio: [tex]\( 1:0:2 \)[/tex]
- Total content: [tex]\( 1 + 0 + 2 = 3 \)[/tex]
- Fraction of fruit: [tex]\( \frac{1}{3} \approx 0.3333 \)[/tex]
Now, let's list out the drinks with their respective fruit fractions:
- Smoothie: [tex]\( 1.0 \)[/tex]
- Squash: [tex]\( 0.6667 \)[/tex]
- Lemonade: [tex]\( 0.25 \)[/tex]
- Soda: [tex]\( 0.3333 \)[/tex]
Finally, we order these drinks in ascending order based on their fraction of fruit:
1. Lemonade ([tex]\( 0.25 \)[/tex])
2. Soda ([tex]\( 0.3333 \)[/tex])
3. Squash ([tex]\( 0.6667 \)[/tex])
4. Smoothie ([tex]\( 1.0 \)[/tex])
So, the drinks in ascending order based on the fraction of fruit they contain are:
- Lemonade
- Soda
- Squash
- Smoothie
