At the museum were some adults.
12 of the number of tourists was equal to 3 times the number of locals. When another 44 locals entered and 66 tourists left, the ratio of the number of tourists to the number of locals become 7 : 3. Find the number of locals at the museum at first.
|
Make p the same (1)x3 = (3) |
Tourists (1) |
Locals (2) |
Make p the same (2)x7 = (4) |
Before |
18 u |
6 u |
1 u |
7 u |
Change |
- 198 |
- 66 |
+ 44 |
+ 308 |
After |
21 p |
7 p |
3 p |
21 p |
12 of the tourists = 3 times of the locals
1x32x3 of the tourists =
3x11x1 of the locals
Make the numerators the same. LCM of 1 and 3 is 3.
36 of the tourists =
31 of the locals
Tourists : Locals = 6 : 1
Make p the same.
(3) = (4)
18 u - 198 = 7 u + 308
18 u - 7 u = 308 + 198
11 u = 506
1 u = 506 ÷ 11 = 46
Number of locals at the museum at first
= 1 u
= 46
Answer(s): 46