Question

1. The amount of share per person varies inversely as the number of persons among whom the amount is to divided. Suppose the share per person is Php 257 350, if there are 7 people. How much is each share if 12 people will partake of the amount?

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2. The weight of an object on Mars varies directly as its weight on Earth. A person who weighs 120 kg on Earth weighs 48 kg on Mars. How heavy would a 100-kg person weigh on Mars?

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3. A simple interest (I) varies jointly with the amount of principal (P) and the length of time. Suppose I = Php 600 when P = Php 10 000 and t = 2 years. What is the interest when P = Php 15 000 and t = 4 years?

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Answer 1

Answer:

150120.83 ; 40 ; 1800

Step-by-step explanation:

Amount of share per person = x

Number of persons = y

x = k/y

k = constant of proportionality

k = xy

257,350 * 7 = 1801450

k = 1801450

If there are 12 persons ; y = 12

x = k/y

x = 1801450 / 12

x = 150120.83

2.) weight on Mars = m

Weight in earth = e

m α e

m = ke

48 = 120k

k = 48 / 120

k = 0.4

m = 0.4 * 100

m = 40

3.)

I α pt

I = kpt

600 = k * 10000 * 2

600 = 20000k

k = 600/20000

k = 0.03

I = 0.03 * 15000 * 4

I = 1800