In trail mix the ratio of cups of peanuts to cups of chocolate is 3 to 2. How much chocolate would be needed if you had 1 or 5 cups of peanuts?
2/5
To find the amount of chocolate needed if you have 1 cup of peanuts, you can use the given ratio of 3 cups of peanuts to 2 cups of chocolate.
Step 1: Set up the ratio:
3 cups of peanuts : 2 cups of chocolate
Step 2: Set up a proportion:
3 cups of peanuts / 2 cups of chocolate = 1 cup of peanuts / x cups of chocolate
The proportion compares the number of peanuts to the number of chocolates in both scenarios.
Step 3: Cross-multiply and solve for x:
3x = 2 * 1
3x = 2
x = 2/3
Therefore, you would need approximately 2/3 of a cup of chocolate if you have 1 cup of peanuts.
Now, let's find the amount of chocolate needed if you have 5 cups of peanuts.
Step 1: Set up the ratio:
3 cups of peanuts : 2 cups of chocolate
Step 2: Set up a proportion:
3 cups of peanuts / 2 cups of chocolate = 5 cups of peanuts / x cups of chocolate
Step 3: Cross-multiply and solve for x:
3x = 2 * 5
3x = 10
x = 10/3
Therefore, you would need approximately 10/3 or 3 1/3 cups of chocolate if you have 5 cups of peanuts.