At the tourist attraction were some adults.
13 of the number of locals was equal to 2 times the number of tourists. When another 56 tourists entered and 54 locals left, the ratio of the number of locals to the number of tourists become 5 : 3. Find the number of tourists at the tourist attraction at first.
| |
Make p the same
(1)x3 = (3) |
Locals
(1) |
Tourists
(2) |
Make p the same
(2)x5 = (4) |
| Before |
18 u |
6 u |
1 u |
5 u |
| Change |
- 162 |
- 54 |
+ 56 |
+ 280 |
| After |
15 p |
5 p |
3 p |
15 p |
13 of the locals = 2 times of the tourists
1x23x2 of the locals =
2x11x1 of the tourists
Make the numerators the same. LCM of 1 and 2 is 2.
26 of the locals =
21 of the tourists
Locals : Tourists = 6 : 1
Make p the same.
(3) = (4)
18 u - 162 = 5 u + 280
18 u - 5 u = 280 + 162
13 u = 442
1 u = 442 ÷ 13 = 34
Number of tourists at the tourist attraction at first
= 1 u
= 34
Answer(s): 34
