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Answer :
Given:
The ratio of teaspoons of sugar to teaspoons of lemon juice of one pint of sweet iced tea is 8:2.
To find:
The ratio of THREE pints of sweet iced tea.
Solution:
For a pint of sweet iced tea that calls for 8 teaspoons of sugar and 2 teaspoons of lemon juice.
So, for three pints of sweeet iced tea,
Sugar = 3 × 8 = 24 teaspoons
Lemon juice = 3 × 2 = 6 teaspoons
Now,
[tex]Ratio=\dfrac{\text{Sugar}}{\text{Lemon juice}}[/tex]
[tex]Ratio=\dfrac{24}{6}[/tex]
Therefore, the ratio of teaspoons of sugar to teaspoons of lemon juice of three pint of sweet iced tea is 24:6.
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Rewritten by : Barada
"The correct ratio for three pints of sweet iced tea is 24:6.
To find the ratio of ingredients for three pints of sweet iced tea, one must first understand the original ratio given in the recipe for one pint. The recipe calls for 8 teaspoons of sugar to 2 teaspoons of lemon juice, which simplifies to a ratio of 4:1 (since both numbers can be divided by 2).
When scaling up the recipe to make three pints, one must multiply both quantities in the ratio by 3.
This is because the amount of each ingredient is directly proportional to the number of pints being made.
Multiplying the original ratio (4:1) by 3 gives:
[tex]\( 4 \times 3 : 1 \times 3 = 12:3 \)[/tex]
However, there seems to be a mistake in the multiplication.
The correct calculation should be:
[tex]\( 8 \times 3 : 2 \times 3 = 24:6 \)[/tex]
This gives us the correct ratio of 24 teaspoons of sugar to 6 teaspoons of lemon juice for three pints of sweet iced tea.
This ratio simplifies to 4:1, which is the same as the original ratio, indicating that the proportion of sugar to lemon juice remains constant regardless of the quantity of sweet iced tea being made."
