Answer:
a) Abby's expression
[tex]2x-\frac{20\times 2x}{100}[/tex]
Renato's expression,
[tex]\frac{x}{5}\times 8[/tex]
b) Both methods will give the same answer.
Step-by-step explanation:
a) Let x be the number of miles,
∵ Double of x = 2x,
20% of 2x = [tex]\frac{20\times 2x}{100}[/tex]
Thus, number of kilometers in x miles = 2x - 20% of 2x
= [tex]2x-\frac{20\times 2x}{100}[/tex]
Which is Abby's expression,
Now, Renato's expression of kilometers in x miles = [tex]\frac{x}{5}\times 8[/tex]
[tex]=\frac{8x}{5}[/tex]
b) [tex]\because 2x-\frac{20\times 2x}{100} = \frac{200x-40x}{100}=\frac{160x}{100}=\frac{8x}{5}[/tex]
Hence, two methods will give the same answer.
