At the tourist attraction were some adults.
13 of the number of locals was equal to 3 times the number of tourists. When another 56 tourists entered and 76 locals left, the ratio of the number of locals to the number of tourists become 7 : 3. Find the number of locals at the tourist attraction at first.
|
Make p the same (1)x3 = (3) |
Locals (1) |
Tourists (2) |
Make p the same (2)x7 = (4) |
Before |
27 u |
9 u |
1 u |
7 u |
Change |
- 228 |
- 76 |
+ 56 |
+ 392 |
After |
21 p |
7 p |
3 p |
21 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 - 228 = 7 u + 392
27 u - 7 u = 392 + 228
20 u = 620
1 u = 620 ÷ 20 = 31
Number of locals at the tourist attraction at first
= 9 u
= 9 x 31
= 279
Answer(s): 279