a group of 5 painters takes 21 hours to paint a house how long would it take for a group of 7 painters to paint the same house

Respuesta :

Answer: [tex]29.4\ hours[/tex]

Step-by-step explanation:

 Let be "x" the time would it take for a group of 7 painters to paint the same house.

According to the exercise, you know that a group of 5 painters can paint the house in 21 hours.

Then, you can write the following proportion:

[tex]\frac{21}{5}=\frac{x}{7}[/tex]

In order to find the time would it take for a group of 7 painters to paint the same house, yo must solve for "x".

Multiplying both sides of the equation by 7, you get that the value of "x" is:

[tex](7)(\frac{21}{5})=(\frac{x}{7})(7)\\\\x=29.4\ hours[/tex]

Answer:

15 hours

Step-by-step explanation:

21*5=105

105/7=15

15 hours