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Activity 3. Give me the correct combination!
Directions: Give what is being asked in every step. Write your answer on a
separate of a paper.
Given: The number of minutes needed to collect all the garbage varies directly as
the number of houses and inversely as the number of people working on it. It takes
4 people 36 minutes to collect the garbage in 18 houses. How many minutes will it
take 6 people to collect 42 houses?
Step 1: Write the correct equation.
Combined variation problems are
solved using a combination of variation
equations. In this case, combine the
direct and inverse variation equations.
Step 2: Use the information given in the
problem to find the value of k.
Step 3: Rewrite the equation from step
1 substituting in the value of k found
15​


Sagot :

Answer:

m = 56

Step-by-step explanation:

Let m be the minute

Let h be the house

Let p be the people

[tex]m = \frac{kh}{p} [/tex]

[tex]36 = \frac{18k}{4} [/tex]

[tex]36(4) = 18k[/tex]

[tex]144 = 18k[/tex]

[tex] \frac{144}{18} = \frac{18k}{18} [/tex]

8 = k

[tex]m = \frac{8(42)}{p} [/tex]

[tex]m = \frac{8(42)}{6} [/tex]

[tex]m = \frac{336}{6} [/tex]

m = 56

I hope it's help

Please brainliest me