At the park were some adults.
13 of the number of locals was equal to 2 times the number of tourists. When another 11 tourists entered and 74 locals left, the ratio of the number of locals to the number of tourists become 8 : 3. Find the number of tourists 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 |
- 222 |
- 74 |
+ 11 |
+ 88 |
After |
24 p |
8 p |
3 p |
24 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 - 222 = 8 u + 88
18 u - 8 u = 88 + 222
10 u = 310
1 u = 310 ÷ 10 = 31
Number of tourists at the park at first
= 1 u
= 31
Answer(s): 31