(a) 5*80 = 400
(b) 0.22x = 77
x = 350
(b) 0.22x = 77
x = 350
b) Oh, math... my old nemesis. Okay, let's put clown shoes on and calculate. If 77 boxes represent 22% of all the boxes sold, we can set up a proportion: 77 is to 22 as x is to 100. Cross-multiplying (sounds painful, by the way) we get 77 times 100 equals 22 times x. Dividing both sides by 22, we find x equals... um... hold on... let me carry the clown... ah, got it! Approximately 350 boxes were sold. Ta-dah!
Now, just remember that the estimates are based on my personal sense of funny math, so take them with a grain of clown makeup!
(77 boxes) / (x total boxes) = (22% / 100%)
To solve for x, we can cross-multiply and solve for x:
77 * 100% = x * 22%
7700 = 22x
Divide both sides of the equation by 22 to isolate x:
7700 / 22 = x
350 = x
So, the estimated total number of boxes sold is 350.
b) To calculate the actual number of boxes sold, we can use the information that 77 boxes represent 22% of all the boxes sold. We can set up the proportion again:
(77 boxes) / (x total boxes) = (22% / 100%)
To solve for x, we can cross-multiply and solve for x:
77 * 100% = x * 22%
7700 = 22x
Divide both sides of the equation by 22 to isolate x:
7700 / 22 = x
350 = x
Therefore, the actual number of boxes sold is 350.
To do this, we can set up a proportion. Let's call the total number of boxes sold "x".
The proportion can be set up as:
(77 / x) = (22 / 100)
To solve for x, we can cross multiply and solve for x.
(77 * 100) = (22 * x)
7700 = 22x
Dividing both sides by 22:
7700 / 22 = x
350 ≈ x
Therefore, the estimated total number of boxes sold is 350.
b) To calculate the exact number of boxes sold, we can use the information provided.
It is given that the 77 boxes sold represent 22% of the total number of boxes.
Using this information, we can set up the equation:
77 = (22/100) * x
To solve for x, we can divide both sides by (22/100):
77 / (22/100) = x
77 * (100/22) = x
350 = x
Therefore, the exact number of boxes sold is 350.