II. Solve the problems and write what type of proportion is.
1. A land area was divided among the 3 heirs in the ratio 5:3:4. If the largest share was 20 hectares of land, what is the total area of the land?
2. A car can travel 210 km in 3 hours. How far can he it travels in 5 hours?
3. Mr. Cruz bought 12 different kinds of pastries for Php 360.00. At the same price, how much will she pay for 18 different kinds of pastries?
1. A land area was divided among the 3 heirs in the ratio 5:3:4. If the largest share was 20 hectares of land, what is the total area of the land?
2. A car can travel 210 km in 3 hours. How far can he it travels in 5 hours?
3. Mr. Cruz bought 12 different kinds of pastries for Php 360.00. At the same price, how much will she pay for 18 different kinds of pastries?
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Answer:
1.)5:3:4
20 hectares of land is the largest share so that we should find the two heirs remaining which has the ratio of 3:4.First,divide the 20 to 5 (20÷5)after getting the quotient which is 4.Then we'll multiply it to the remaining ratios which are 3 and 4.(3×4=12 and 4×4=16).Now,we have 20:12:16 to get the area we're going to multiply A=20×12×16.
3840 is the total area of the land.This is a partitive proportion.
2.)210:3=_:5
210×5÷3=350
The answer is 350 km in 5 hours
This is a type of inverse proportion.
3.)12:360=18:_
360×18÷12=540
Mr.Cruz will pay Php 540.00 for 18 different kinds of pastries.This is a direct proportion.