frankie can plant a garden by herself in 10 hours. when her son Garyn helps her, the total time it takes them to plant the garden is 4 hours. how long would it take Garyn to plant the garden himself?

Answer:[tex]6\frac{2}{3}\ hours[/tex]Step-by-step explanation:step 1we know thatFrankie can plant a garden by herself in 10 hoursso100% of the work -------> 10 hoursUsing proportionFind the percentage he can do in 1 hour[tex]\frac{100\%}{10}=\frac{x\%}{1} \\ \\x=100/10\\ \\x=10\%[/tex]step 2we know thatWhen her son Garyn helps her, the total time it takes them to plant the garden is 4 hoursso100% of the work (Frankie and Garyn) -------> 4 hoursRemember thatFrankie in 1 hour can do 10%soFrankie in 4 hours can do----------> 10%*4=40%thereforeGaryn in 4 hours can do--------> 100%-40%=60%step 3using proportionFind how long would it take Garyn to plant the garden himself[tex]\frac{60\%}{4} =\frac{100\%}{x}\\ \\x=4*100/60\\ \\x= 6\frac{2}{3}\ hours[/tex]