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Jlenok [28]
3 years ago
12

Please help with question 20! Thanks<3

Mathematics
1 answer:
kkurt [141]3 years ago
3 0

Answer:

Population of Town A = 19,575

Population of Town B = 52,200

Population of Town C = 20,880

Step-by-step explanation:

The ratio of..

A : B = 3 : 8

B : C = 5 : 2

Both A : B and B : C have B in their ratios. What we can do is make B the same in both ratios and then create a ratio between all three towns.

A : B = (3 : 8) x 5 = 15 : 40

B : C = (5 : 2) x 8 = 40 : 16

A : B : C

15 : 40 : 16

Now, to find the population of each town we can write the following equation using the numbers from our ratio between all three towns and set it to the given population.

15x + 40x + 16x = 92,655

Solve for x.

71x = 92,655

x = 1,305

Finally, we can use the value of x to find the population of each town.

Population of Town A = 15x

Population of Town A = 15(1,305)

Population of Town A = 19,575

Population of Town B = 40x

Population of Town B = 40(1,305)

Population of Town B = 52,200

Population of Town C = 16x

Population of Town C = 16(1,305)

Population of Town C = 20,880

~Hope this helps!~

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