Answer:
50
Step-by-step explanation:
Using the experimental probability, first we have to find total amount paint then to find the amount of good quality forever paint we have to subtract the amounts of other paints from total amount.
Let x represents the amount of good quality forever paint sold.
Total amount of paint [tex]=48+45+35+39+33+x=200+x[/tex] ...(i)
Experimental probability of paint sold will be better quality durable paint is
[tex]P=\dfrac{\text{Amount of better quality durable paint}}{\text{Amount of total paint}}[/tex]
[tex]P=\dfrac{45}{\text{Amount of total paint}}[/tex]
It is given that experimental probability of paint sold will be better quality durable paint is [tex]\frac{9}{50}.[/tex]
[tex]\frac{9}{50}=\dfrac{45}{\text{Amount of total paint}}[/tex]
[tex]\text{Amount of total paint}=\dfrac{45\times 50}{9}[/tex]
[tex]\text{Amount of total paint}=250[/tex] ...(ii)
From (i) and (ii), we get
[tex]200+x=250[/tex]
[tex]x=250-200[/tex]
[tex]x=50[/tex]
Therefore, 50 gallons good quality forever paint is sold.
