If a punch recipe contains 40% of ginger-ale 25% of Orange Juice 20% of pineapple juice does 15% of sorbet how many cups of sugar are used in 8 cups of punch
The recipe doesn't call for sugar.
To determine the amount of sugar used in 8 cups of punch, we need to find the proportion of sugar in each ingredient and calculate accordingly. From the given information, the punch recipe consists of the following proportions:
- Ginger-ale: 40%
- Orange juice: 25%
- Pineapple juice: 20%
- Sorbet: 15%
Let's calculate the amount of sugar used in each ingredient:
1. Ginger-ale (40%): If we assume that the ginger ale is 100% sugar-free, then no sugar is used in this ingredient.
2. Orange juice (25%): To find the amount of sugar, we use the proportion: 25% × 8 cups = 0.25 × 8 = 2 cups of sugar.
3. Pineapple juice (20%): Similarly, using the proportion, 20% × 8 cups = 0.20 × 8 = 1.6 cups of sugar.
4. Sorbet (15%): Again, using the proportion, 15% × 8 cups = 0.15 × 8 = 1.2 cups of sugar.
Adding up the sugar from each ingredient, the total amount of sugar used in 8 cups of punch is:
0 cups (ginger-ale) + 2 cups (orange juice) + 1.6 cups (pineapple juice) + 1.2 cups (sorbet) = 4.8 cups of sugar.
Therefore, 8 cups of punch contains 4.8 cups of sugar.
To determine how many cups of sugar are used in 8 cups of punch, we need to calculate the proportion of sugar in the overall punch recipe, taking into account the percentages of the other ingredients.
First, let's find the proportion of sorbet in the punch recipe. Since sorbet accounts for 15% of the punch, we can multiply 15% by the total volume of punch (8 cups) to find the amount of sorbet in cups:
15% of 8 cups = 0.15 * 8 cups = 1.2 cups
Next, let's calculate the proportion of the other ingredients in the punch recipe. We add up the percentages of ginger ale, orange juice, and pineapple juice to find the total proportion not occupied by sorbet:
100% - 15% = 85%
Now, we can distribute the remaining 85% proportion among the ginger ale, orange juice, and pineapple juice.
The ginger ale accounts for 40% of the 85% proportion:
40% of 85% = 0.4 * 85% = 0.34
The orange juice accounts for 25% of the 85% proportion:
25% of 85% = 0.25 * 85% = 0.2125
The pineapple juice accounts for 20% of the 85% proportion:
20% of 85% = 0.20 * 85% = 0.17
Now, let's add up the proportions of all the ingredients to find the total proportion of sugar in the punch recipe:
Proportion of sugar = Proportion of sorbet + Proportion of ginger ale + Proportion of orange juice + Proportion of pineapple juice
Proportion of sugar = 1.2 cups + 0.34 + 0.2125 + 0.17 = 1.9225 cups
Therefore, in 8 cups of punch, there are approximately 1.9225 cups of sugar used.