At the park were some adults.
13 of the number of locals was equal to 3 times the number of tourists. When another 56 tourists entered and 66 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 |
27 u |
9 u |
1 u |
8 u |
Change |
- 198 |
- 66 |
+ 56 |
+ 448 |
After |
24 p |
8 p |
3 p |
24 p |
13 of the locals = 3 times of the tourists
1x33x3 of the locals =
3x11x1 of the tourists
Make the numerators the same. LCM of 1 and 3 is 3.
39 of the locals =
31 of the tourists
Locals : Tourists = 9 : 1
Make p the same.
(3) = (4)
27 u - 198 = 8 u + 448
27 u - 8 u = 448 + 198
19 u = 646
1 u = 646 ÷ 19 = 34
Number of tourists at the park at first
= 1 u
= 34
Answer(s): 34