Answer:
Part 1) The ratio of buttons in package A to package B is 7:12
Part 2) For every 1 button in package C, there are 5 in package D.
Part 3) The ratio of buttons in package A to the total number of buttons is 1:5
Explanation:
Part 1.
To find the ratio of buttons in package A to package B, we first have to identify how many buttons are in each package.
Package A: 35
Package B: 60
One way we can find the ratio of 35 to 60 is to find a common factor between the two numbers.
Well, both 35 and 60 have a common factor of 5.
Now we divide both numbers by 5 to simplify
35 / 5 = 7
60 / 5 = 12
Now we have the ratio of 7:12
It cannot be simplified anymore since 7 and 12 have no common factors
Part 2.
To find the answer to this, we have to find the ratio of buttons in package C to package D.
Package C: 10 buttons
Package D: 50 buttons
Now we find a common factor between the two numbers
The greatest factor is 10
Now we divide both numbers by 10 to simplify
10 / 10 = 1
50 / 10 = 5
So, our ratio is 1:5
That means for every 1 button in package C, there are 5 in package D.
Part 3.
To find this ratio, we have to identify the number of buttons for both sides.
Package A: 35
All Packages: 60 + 10 + 50 + 20 + 35 = 175
So, let's find the greatest common factor between 175 and 35
Well, the greatest common factor is 35, since 35 is a factor of 175
35 / 35 = 1
175 / 35 = 5
The ratio of buttons in package A to the total number of buttons is 1:5