Questions: Using the same ratio as before, determine the missing information in the table below. many cups of lemonade will you need prepared? How many cups of lemonade mix and cups water does that amount to? SF: 1.4

Using the same ratio as before, determine the missing information in the table below.
many cups of lemonade will you need prepared? How many cups of lemonade mix and cups water does that amount to? SF: 1.4

Transcript text: Using the same ratio as before, determine the missing information in the table below. many cups of lemonade will you need prepared? How many cups of lemonade mix and cups water does that amount to? SF: 1.4

Solution

Solution Steps

To solve the problem, we need to determine the missing information in the table using the given ratio. The ratio provided is 1:4, which means for every 1 part of lemonade mix, there are 4 parts of water. We need to apply this ratio to find out how many cups of lemonade mix and water are needed for a given number of cups of lemonade.

Step 1: Determine the Total Parts in the Ratio

The ratio of lemonade mix to water is given as \(1:4\). This means that for every 1 part of lemonade mix, there are 4 parts of water. Therefore, the total parts in the ratio can be calculated as: \[ \text{Total Parts} = 1 + 4 = 5 \]

Step 2: Calculate the Amount of Lemonade Mix and Water

Given that we need to prepare a total of \(42\) cups of lemonade, we can find the amount of lemonade mix and water needed using the ratios. The amount of lemonade mix (\(L\)) and water (\(W\)) can be calculated as follows: \[ L = \left(\frac{1}{5}\right) \times 42 = 8.4 \text{ cups} \] \[ W = \left(\frac{4}{5}\right) \times 42 = 33.6 \text{ cups} \]