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

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]