At the museum were some adults.
12 of the number of locals was equal to 3 times the number of tourists. When another 26 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 museum 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 |
+ 26 |
+ 208 |
| 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 - 222 = 8 u + 208
18 u - 8 u = 208 + 222
10 u = 430
1 u = 430 ÷ 10 = 43
Number of tourists at the museum at first
= 1 u
= 43
Answer(s): 43
