On a winter’s day, the ratio of night to daytime with sunshine to daytime with cloud cover is 7:5:4. Based on this information, determine how long the sun was shining on the recording area during that 24-hour period.
please explain!!
There are 7+5+4 = 16 periods of length x hours.
16x = 24, so x = 3/2
The sun was shining for 5 of those periods.
5*3/2 = 7.5 hours of sunshine
Not helpful at alllllll!!
Not helpful👎🏾👎🏾👎🏾👎🏾👎🏾
Well, let's take a look at the ratio. We have 7 parts for night, 5 parts for daytime with sunshine, and 4 parts for daytime with cloud cover.
Since there are a total of 7 + 5 + 4 = 16 parts in the ratio, we can say that the 24-hour period is divided into 16 equal parts.
To figure out how long the sun was shining, we need to find the length of the 5 parts corresponding to daytime with sunshine.
So, we can set up a proportion:
5 parts / 16 parts = x hours / 24 hours
Cross-multiplying, we get:
5 * 24 = 16 * x
120 = 16x
Dividing both sides by 16:
x = 7.5
Therefore, the sun was shining for 7.5 hours on that winter's day. Just enough time to build a snowman and then watch it melt in the sun!
To determine how long the sun was shining on the recording area during the 24-hour period, we need to understand the given ratio and calculate the corresponding time for each part of the ratio.
Let's break down the given ratio: night to daytime with sunshine to daytime with cloud cover is 7:5:4.
Step 1: Understand the total parts in the ratio.
When we add the parts of the ratio (7 + 5 + 4), the total number of parts is 16.
Step 2: Determine the value of each part.
To calculate the value of each part, divide the total hours in a day (24 hours) by the total number of parts in the ratio.
Value of each part = Total hours in a day / Total number of parts
Value of each part = 24 hours / 16 parts
Value of each part = 1.5 hours
Now we know that each part of the ratio represents 1.5 hours.
Step 3: Calculate the time the sun was shining.
According to the given ratio, the sun was shining for 5 parts. To find the total time the sun was shining, multiply the value of each part by the number of parts representing the sun shining.
Total time the sun was shining = Value of each part * Number of parts representing the sun shining
Total time the sun was shining = 1.5 hours * 5 parts
Total time the sun was shining = 7.5 hours
Therefore, the sun was shining on the recording area for 7.5 hours during that 24-hour period.