At the museum were some adults.
12 of the number of tourists was equal to 3 times the number of locals. When another 54 locals entered and 53 tourists left, the ratio of the number of tourists to the number of locals become 5 : 3. Find the number of tourists at the museum at first.
| |
Make p the same
(1)x3 = (3) |
Tourists
(1) |
Locals
(2) |
Make p the same
(2)x5 = (4) |
| Before |
18 u |
6 u |
1 u |
5 u |
| Change |
- 159 |
- 53 |
+ 54 |
+ 270 |
| After |
15 p |
5 p |
3 p |
15 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 - 159 = 5 u + 270
18 u - 5 u = 270 + 159
13 u = 429
1 u = 429 ÷ 13 = 33
Number of tourists at the museum at first
= 6 u
= 6 x 33
= 198
Answer(s): 198
