At the park were some adults.
12 of the number of locals was equal to 3 times the number of tourists. When another 27 tourists entered and 58 locals left, the ratio of the number of locals to the number of tourists become 8 : 3. Find the number of locals at the park at first.
| |
Make p the same
(1)x3 = (3) |
Locals
(1) |
Tourists
(2) |
Make p the same
(2)x8 = (4) |
| Before |
18 u |
6 u |
1 u |
8 u |
| Change |
- 174 |
- 58 |
+ 27 |
+ 216 |
| After |
24 p |
8 p |
3 p |
24 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)
18 u - 174 = 8 u + 216
18 u - 8 u = 216 + 174
10 u = 390
1 u = 390 ÷ 10 = 39
Number of locals at the park at first
= 6 u
= 6 x 39
= 234
Answer(s): 234
