At the museum were some adults.
12 of the number of locals was equal to 2 times the number of tourists. When another 52 tourists entered and 32 locals left, the ratio of the number of locals to the number of tourists become 8 : 7. Find the number of tourists at the museum at first.
|
Make p the same (1)x7 = (3) |
Locals (1) |
Tourists (2) |
Make p the same (2)x8 = (4) |
Before |
28 u |
4 u |
1 u |
8 u |
Change |
- 224 |
- 32 |
+ 52 |
+ 416 |
After |
56 p |
8 p |
7 p |
56 p |
12 of the locals = 2 times of the tourists
1x22x2 of the locals =
2x11x1 of the tourists
Make the numerators the same. LCM of 1 and 2 is 2.
24 of the locals =
21 of the tourists
Locals : Tourists = 4 : 1
Make p the same.
(3) = (4)
28 u - 224 = 8 u + 416
28 u - 8 u = 416 + 224
20 u = 640
1 u = 640 ÷ 20 = 32
Number of tourists at the museum at first
= 1 u
= 32
Answer(s): 32