At the park were some adults.
13 of the number of tourists was equal to 2 times the number of locals. When another 80 locals entered and 72 tourists left, the ratio of the number of tourists to the number of locals become 7 : 5. Find the number of tourists at the park at first.
| |
Make p the same
(1)x5 = (3) |
Tourists
(1) |
Locals
(2) |
Make p the same
(2)x7 = (4) |
| Before |
30 u |
6 u |
1 u |
7 u |
| Change |
- 360 |
- 72 |
+ 80 |
+ 560 |
| After |
35 p |
7 p |
5 p |
35 p |
13 of the tourists = 2 times of the locals
1x23x2 of the tourists =
2x11x1 of the locals
Make the numerators the same. LCM of 1 and 2 is 2.
26 of the tourists =
21 of the locals
Tourists : Locals = 6 : 1
Make p the same.
(3) = (4)
30 u - 360 = 7 u + 560
30 u - 7 u = 560 + 360
23 u = 920
1 u = 920 ÷ 23 = 40
Number of tourists at the park at first
= 6 u
= 6 x 40
= 240
Answer(s): 240
