Identify the type of proportion that the following problem illustrate then solve the problem.
1.The bus fare for an 80km trip is 65 pesos.
How much is the bus fare for 320km trip
2. If 6 men ear plow a field in 2 days.
How long will 3 men do it?
3.The sum of two number is 215. If the ration is 2:3
Find the larger number
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1.The bus fare for an 80km trip is 65 pesos.
How much is the bus fare for 320km trip
2. If 6 men ear plow a field in 2 days.
How long will 3 men do it?
3.The sum of two number is 215. If the ration is 2:3
Find the larger number
Ayan lang po pasagot napo ngayon plss
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1. The problem illustrates a direct proportion. The bus fare is directly proportional to the distance traveled.
To solve the problem:
Since the bus fare is directly proportional to the distance, we can set up a proportion:
80 km / 65 pesos = 320 km / x pesos
Cross-multiplying, we get:
80 km * x pesos = 65 pesos * 320 km
Simplifying, we have:
80x = 65 * 320
Dividing both sides by 80:
x = (65 * 320) / 80
x = 260 pesos
Therefore, the bus fare for a 320 km trip is 260 pesos.
2. The problem illustrates an inverse proportion. The time taken to plow the field is inversely proportional to the number of men working on it.
To solve the problem:
Since the time taken is inversely proportional to the number of men, we can set up a proportion:
6 men / 2 days = 3 men / x days
Cross-multiplying, we get:
6 men * x days = 3 men * 2 days
Simplifying, we have:
6x = 3 * 2
6x = 6
Dividing both sides by 6:
x = 1 day
Therefore, it will take 3 men 1 day to plow the field.
3. The problem illustrates a ratio proportion. The sum of the two numbers is given, and the ratio between them is provided.
To solve the problem:
Let's assume the two numbers are 2x and 3x (since the ratio is 2:3).
According to the problem, 2x + 3x = 215.
Combining like terms, we have:
5x = 215
Dividing both sides by 5:
x = 215 / 5
x = 43
Therefore, the larger number is 3x = 3 * 43 = 129.