You mix soda water, fruit punch concentrate, and ginger ale in the ratio of
1 : 2 : 5 to make fruit punch. How many pints of each ingredient should you use to make 4 gallons of fruit punch?
To find the amounts of each ingredient needed to make 4 gallons of fruit punch, you'll need to calculate the quantities in pints for each ingredient.
First, let's convert 4 gallons into pints. Since 1 gallon is equal to 8 pints, multiplying 4 gallons by 8 gives us a total of 32 pints of fruit punch.
Next, we can use the given ratio of the ingredients to find their respective quantities.
The ratio is 1 : 2 : 5, which means for every 1 part of soda water, you'll need 2 parts of fruit punch concentrate and 5 parts of ginger ale.
Let's break down the calculation for each ingredient:
1. Soda Water:
- The total ratio is 1 + 2 + 5 = 8 parts.
- To find the amount of soda water in pints, divide 32 pints by 8 (total parts).
- So, 32 pints / 8 parts = 4 pints of soda water.
2. Fruit Punch Concentrate:
- Multiply the amount of soda water (4 pints) by the ratio of fruit punch concentrate to soda water.
- 4 pints (soda water) * (2 parts fruit punch concentrate / 1 part soda water) = 8 pints of fruit punch concentrate.
3. Ginger Ale:
- Multiply the amount of soda water (4 pints) by the ratio of ginger ale to soda water.
- 4 pints (soda water) * (5 parts ginger ale / 1 part soda water) = 20 pints of ginger ale.
In summary, to make 4 gallons (32 pints) of fruit punch, you should use:
- 4 pints of soda water
- 8 pints of fruit punch concentrate
- 20 pints of ginger ale.
To find out how many pints of each ingredient you should use to make 4 gallons of fruit punch, we need to convert the gallon measurement to pints and then use the given ratio.
1 gallon = 8 pints
So, 4 gallons = 4 * 8 = 32 pints.
Let's use the ratio to calculate the amount of each ingredient:
The ratio given is 1 : 2 : 5, which means for every part of soda water, you need 2 parts of fruit punch concentrate, and 5 parts of ginger ale.
To calculate the amounts of each ingredient, follow these steps:
1. Calculate the total number of parts:
1 + 2 + 5 = 8 parts.
2. Divide the total number of pints (32) by the number of parts to find out how many pints make up each part:
32 pints / 8 parts = 4 pints.
3. Multiply the number of parts by the number of pints per part to find out how many pints of each ingredient you need:
Soda Water: 1 part * 4 pints = 4 pints
Fruit Punch Concentrate: 2 parts * 4 pints = 8 pints
Ginger Ale: 5 parts * 4 pints = 20 pints
So, to make 4 gallons of fruit punch, you should use 4 pints of soda water, 8 pints of fruit punch concentrate, and 20 pints of ginger ale.
4 gallons = 32 pints
So, if there are x pints of soda, then
x + 2x + 5x = 32
find x, and then the rest.