1) 1344 gnomes lived in the magic forest. If 840 had happy faces, then 504 did not have happy faces. 2) 1792 rock badgers took refuge in the mountain caves on Monday. 4/2 of the acceptable number of 640 was the number that took refuge. 3) 3/8 of the ghosts were not spied. When the fog lifted, 400 ghosts were spied near the outskirts. If 240 ghosts were not spied, what fraction of the ghosts was not spied.

1. F∙A=B

2. EXAMPLE:
Five eighths of the gnomes who lived in the magic forest
had happy faces. If 840 gnomes had happy faces, how
many gnomes lived in the magic forest.
SOLUTION: Change the wording of this problem
5
of what number is 840?
8

3. Remember “of” refers to: " "
and “is” corresponds to “=“
5
A 840
8
8 5 8
A 840
5 8 5
840 8 6720
A
1 5 5
A 1344

4. SO……
 1344 gnomes lived in the forest.
 If 840 had happy faces, then 504 did not have happy faces

5. EXAMPLE:
4
On Monday times the acceptable number of rock badgers
2
5
took refuge in the mountain caves. If 640 was the acceptable
number, how many rock badgers took refuge in the mountain
caves on Monday?
SOLUTION: Restate the problem
4
2
5
of 640 is what number?

6. Change to improper fraction
4 14
2 B
5 5
14 640 8960
B
5 1 5
1792 B

7. Thus…..
A total of 1792 rock badgers took refuge in the
mountain caves on Monday

8. EXAMPLE:
When the fog lifted, 400 ghosts were spied skulking near the
outskirts. If 240 ghosts were not spied, what fraction of the
ghosts was not spied.
SOLUTION: Restate the problem
What fraction of 640 is 240?

9. Solution
F 640 240
F 640 240
640 640
3
F
8

10. Thus…
3
8
of the ghosts were not spied