How to convert 8.1 into a fraction
1 answer:
You might be interested in
We can put this information into two equations:
7 booklets = 140 stamps
3 booklets = 60 stamps
Let us then focus on one equation to find the relationship:
7 booklets = 140 stamps
If we put that into a fraction, we get
or 
.
This means that for every booklet, Ashley gets 20 stamps; or rather, each booklet has 20 stamps.
We can then see that this relationship holds true for the second equation as well:
or .
To write a general equation for this relationship using p for the number of postage stamps, and b for the number of booklets:
p = 20b
Where b is equal to p.
7 booklets = 140 stamps
3 booklets = 60 stamps
Let us then focus on one equation to find the relationship:
7 booklets = 140 stamps
If we put that into a fraction, we get
This means that for every booklet, Ashley gets 20 stamps; or rather, each booklet has 20 stamps.
We can then see that this relationship holds true for the second equation as well:
To write a general equation for this relationship using p for the number of postage stamps, and b for the number of booklets:
p = 20b
Where b is equal to p.
Answer:
(a) 7 essays and 29 multiple questions
(b) Your friend is incorrect
Step-by-step explanation:
Represent multiple choice with M and essay with E.
So:
--- Number of questions
--- Points
Solving (a): Number of question of each type.
Make E the subject of formula in
Substitute 36 - M for E in
Collect Like Terms
Divide both sides by -4
Substitute 29 for M in
Solving (b): Can the multiple questions worth 4 points each?
It is not possible.
See explanation.
If multiple question worth 4 points each, then
would be:
Where x represents the number of points for essay questions.
Substitute 7 for E and 29 for M.
Subtract 116 from both sides
Make x the subject
Since the essay question can not have worth negative points.
Then, it is impossible to have the multiple questions worth 4 points
<em>Your friend is incorrect.</em>