Yusuf earned a total of $180 from drying 12 identically-price pictures at a festival. Write an equation to describe the relation
2 answers:
Answer:
is the required relationship.
Step-by-step explanation:
We have bee give that the Yusuf earned a total of $180 from drying 12 identically-price pictures at a festival.
That means if we count earning for one picture is:
We need to find the relationship between P and E
Where, P is the price of the picture
And E is the earning.
If we put different values of P we will get the earning for the number of pictures.
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Based on the information given in the exercise, you know that the shaded region has this area:
And the area of each square region in the corners is:
Since there are four square regions, you can multiply that the area of any of them by 4, in order to find the total area of them:
Then, in order to find the total area of the figure, you must add the area of the shaded region and the total area of the square regions:
Therefore, the total of the figure is:
Answer:
36 is the correct answer.
Step-by-step explanation:
It is given that there are a group of tourists that can be sorted in a group of either 4 or 6 so that there are no empty seats.
It means that the total number of seats should be a <em>multiple of both 4 and 6</em>.
For finding such a number we can simply find out <em>LCM (Least Common Multiple)</em> of 4 and 6.
<u>LCM of two numbers </u>p and q is the minimum number which can be completely divided by both the numbers p and q.
Let us find the LCM of 4 and 6 here, using the factors:
4 = <u>2</u> 2
6 = <u>2</u> 3
The common factor(shown as underlined) is used only once in the LCM.
So, LCM = 2 2
3 = 12
So, 12 is the minimum number which can be divided by 4 and 6 both.
But, we are given a condition that number of tourists are more than 25 and lesser than 45. So, the number of seats can be in between 25 and 45.
Now, let us see multiples of 12:
12, 24, 36, 48, 60, ......
The number that lies between 25 and 45 is <em>36</em>.
So, the number of total seats can be <em>36</em>.