At the tourist attraction were some adults.
13 of the number of tourists was equal to 2 times the number of locals. When another 21 locals entered and 14 tourists left, the ratio of the number of tourists to the number of locals become 7 : 2. Find the number of locals at the tourist attraction at first.
| |
Make p the same
(1)x2 = (3) |
Tourists
(1) |
Locals
(2) |
Make p the same
(2)x7 = (4) |
| Before |
12 u |
6 u |
1 u |
7 u |
| Change |
- 28 |
- 14 |
+ 21 |
+ 147 |
| After |
14 p |
7 p |
2 p |
14 p |
13 of the tourists = 2 times of the locals
1x23x2 of the tourists =
2x11x1 of the locals
Make the numerators the same. LCM of 1 and 2 is 2.
26 of the tourists =
21 of the locals
Tourists : Locals = 6 : 1
Make p the same.
(3) = (4)
12 u - 28 = 7 u + 147
12 u - 7 u = 147 + 28
5 u = 175
1 u = 175 ÷ 5 = 35
Number of locals at the tourist attraction at first
= 1 u
= 35
Answer(s): 35
