At the museum were some adults.
12 of the number of tourists was equal to 2 times the number of locals. When another 29 locals entered and 28 tourists left, the ratio of the number of tourists to the number of locals become 8 : 5. Find the number of tourists at the museum at first.
|
Make p the same (1)x5 = (3) |
Tourists (1) |
Locals (2) |
Make p the same (2)x8 = (4) |
Before |
20 u |
4 u |
1 u |
8 u |
Change |
- 140 |
- 28 |
+ 29 |
+ 232 |
After |
40 p |
8 p |
5 p |
40 p |
12 of the tourists = 2 times of the locals
1x22x2 of the tourists =
2x11x1 of the locals
Make the numerators the same. LCM of 1 and 2 is 2.
24 of the tourists =
21 of the locals
Tourists : Locals = 4 : 1
Make p the same.
(3) = (4)
20 u - 140 = 8 u + 232
20 u - 8 u = 232 + 140
12 u = 372
1 u = 372 ÷ 12 = 31
Number of tourists at the museum at first
= 4 u
= 4 x 31
= 124
Answer(s): 124