At the park were some adults.
12 of the number of locals was equal to 3 times the number of tourists. When another 58 tourists entered and 70 locals left, the ratio of the number of locals to the number of tourists become 5 : 4. Find the number of tourists at the park at first.
| |
Make p the same
(1)x4 = (3) |
Locals
(1) |
Tourists
(2) |
Make p the same
(2)x5 = (4) |
| Before |
24 u |
6 u |
1 u |
5 u |
| Change |
- 280 |
- 70 |
+ 58 |
+ 290 |
| After |
20 p |
5 p |
4 p |
20 p |
12 of the locals = 3 times of the tourists
1x32x3 of the locals =
3x11x1 of the tourists
Make the numerators the same. LCM of 1 and 3 is 3.
36 of the locals =
31 of the tourists
Locals : Tourists = 6 : 1
Make p the same.
(3) = (4)
24 u - 280 = 5 u + 290
24 u - 5 u = 290 + 280
19 u = 570
1 u = 570 ÷ 19 = 30
Number of tourists at the park at first
= 1 u
= 30
Answer(s): 30
