The table shows the ratios of punch and lemon-lime used to make a drink. What are the missing values?(1 point)
Punch 5
35 50
Lemon-Lime 2 6
20
Based on the information given, the missing values are:
Punch:
- The ratio for Punch and 35 is missing.
- The ratio for Punch and 50 is missing.
Lemon-Lime:
- The ratio for Lemon-Lime and 2 is missing.
- The ratio for Lemon-Lime and 6 is missing.
To find the missing values, we can use the given ratios in the table.
First, let's focus on the punch values. The ratio of punch to lemon-lime is constant throughout the table.
From the given table:
Punch: 5 / 35 = 2 / 20
To find the missing value in the first row:
Let's set up a proportion using the first two punch values: 5 and 35.
5 / x = 2 / 20
Cross-multiplying to solve for x:
5 * 20 = 2 * x
100 = 2x
Dividing both sides by 2:
x = 50
So, the missing value in the first row under punch is 50.
Now, let's move on to the lemon-lime values.
From the given table:
Lemon-Lime: 2 / 20 = 6 / x
To find the missing value in the third row:
Let's set up a proportion using the last two lemon-lime values: 6 and 20.
6 / 20 = 2 / x
Cross-multiplying to solve for x:
6 * x = 20 * 2
6x = 40
Dividing both sides by 6:
x = 40 / 6
Simplifying:
x = 20 / 3
So, the missing value in the third row under lemon-lime is approximately 6.6667 (or rounded to the nearest hundredth, 6.67).
To find the missing values in the table, we can use the concept of ratios.
First, let's look at the ratio of Punch to Lemon-Lime:
- On the left side of the table, we have Punch = 5 and Lemon-Lime = 2.
- On the right side of the table, we have Punch = 35 and Lemon-Lime = 6.
To find the missing values, we need to compare the ratios of Punch to Lemon-Lime on both sides of the table.
On the left side:
Punch : Lemon-Lime = 5 : 2
On the right side:
Punch : Lemon-Lime = 35 : 6
To find the missing values, we can set up a proportion based on the ratios:
5/2 = 35/x
To solve for x, we can cross multiply:
5x = 70
Dividing both sides by 5, we get:
x = 14
So the missing value for Punch in the second row is 14.
Similarly, we can find the missing value for Lemon-Lime in the first row:
Punch : Lemon-Lime = 5 : 2
Punch : Lemon-Lime = 50 : x
Setting up a proportion:
5/2 = 50/x
Cross multiplying:
5x = 100
Dividing both sides by 5:
x = 20
So the missing value for Lemon-Lime in the first row is 20.