Answer:
Q4) 256 roses
Q5) 40 hamburgers
Q6) 60 professors and 168 lecturers
Q7) 20 percussionist on the sideline
Step-by-step explanation:
Q4) First to set up a proportion you simply have to write a letter to represent the missing number. In this case we'll be using <em>x</em>. So it'll look something like these:
I) 160:5 =<em> </em>x:8 (using colon) or
II) 160/5 = x/8 (as two equal fractions)
You can use one of the two above.
I used the fractions here to solve the question.
After setting up the proportion, your going to cross multiply to get the value of x so its going to look like this:
160×8 = 5×x
1280 = 5x
5x = 1280
Now you have to divide on both sides to isolate x.
5x÷5 = 1280÷5
x = 256
Therefore your answer is 256 roses.
Q5) Use the same method in Q4.
Q6) This is where the proportion using colon comes in. It should look like this 5:14. 5 representing the professors and 14 the lecturers. Now it said that the total number of faculty members is 228.
First thing your going to do is add the proportion together. So basically 5+14=19.
After acquiring this your going to use the sum to divide the total number of faculty members which is 228. So 228÷19=12.
And finally you now have to multiply both sides of the proportion by 12. Therefore 5×12:14×12
60:168
To make sure the answer is right add the proportions of the working above which will give you the total number of faculty members. 60+168=228.
Your final answer: There are 60 professors and 168 lecturers.
Q7) Use the same method done in Q6.
I gave the answers to questions 5 and 7 because I wanted to give you the opportunity to try out the working outs yourself for a better understanding on your part and see if you can get the same answers as me. Anyway hope this helped.
