Respuesta :
Answer:
The January price of the doll is same as the November price. It does not depend on the original price.
Step-by-step explanation:
- We are given with a word problem
- We are asked to find whether the January price is higher or lower or equal to the November price.
- We can do this in two steps
Step 1 : Finding the price of doll in December and January
Step 2 : Comparing them.
Step 1 of 2
Let x be the price of any doll in Tom's House.
The percentage increase in December is 25%
That is [tex]$\frac{1}{4} \times x=\frac{x}{4}$[/tex]
Then the price in December is
[tex]x+\frac{x}{4}=\frac{4 x+x}{4}$\\ \frac{4 x+x}{4}=\frac{5 x}{4}[/tex]
And the percentage decrease in January is 20%
That is [tex]$\frac{20}{100}=\frac{1}{5}$[/tex] of that price in December
[tex]$\begin{aligned}\frac{1}{5} \times \frac{5 x}{4} &=\frac{5 x}{5 \times 4} \\\frac{5 x}{20} &=\frac{x}{4}\end{aligned}$[/tex]
We are gay because this app is the answer because I just did the test
