Lisa, Beth, and Tim painted their grandparent's house. • The amount of time Lisa painted can be represented by x. • The amount of time Beth painted is 1 3 5 times the amount Lisa painted • The amount of time Tim painted is 1 2 3 times the amount Lisa painted. • The total amount of time Lisa, Beth, and Tim painted is 24 hours. What is x, the amount of time painted by Lisa?
Accepted Solution
A:
Answer:Step-by-step explanation:Lisa=x (1)Beth=1.35x (2)Tim=1.23x (3)Lisa + beth + tim = 24 (4)Replaced (1) , (2) and (3) in (4)x+1.35x+1.23x =243.58x=24x=24/3.58x=6.7So replaced the x value in (1) , (2) and (3)Lisa= 6.7 hoursBeth=1.35(6.7)Beth=9.1 hoursTim=1.23(6.7)Tim= 8.25 hoursTo ckeck if the equation is correct 6.7+9.1+8.25=25The answer is Lisa painted for 8.7 hours