Respuesta :
Answer:
ok first you need to figure out how much was NOT consumed by peter so linda ate 1/8 of the cornbread and peter LEFT 2/3 of the batch remaining. so what i did was,
Step-by-step explanation:
- first match the bottom numbers so i took 3*8= 24
- then you take the amount added to each bottom number of the fraction so 8 was multiplied by 3 so the 1/8 would turn into 3/24 and the 3 was multiplied by 8 so the 2/3 would turn into 16/24
- if you add that together you would get 19/24
- then subtract 19 from 24 = 5 so you end up with 5/24
- and because you can't simplify it the answer is 5/24
Using proportions, it is found that the fraction of the batch of cornbread that Peter ate is of [tex]\frac{5}{24}[/tex].
What is a proportion?
A proportion is a fraction of a total amount.
In this problem, 2/3 of the batch remaining, hence 1/3 was eaten. This one third is the sum of 1/8(eaten by Linda) with the fraction eaten by Peter, hence:
[tex]\frac{1}{8} + x = \frac{1}{3}[/tex]
[tex]\frac{1 + 8x}{8} = \frac{1}{3}[/tex]
Applying cross multiplication:
3 + 24x = 8
x = 5/24
The fraction of the batch of cornbread that Peter ate is of [tex]\frac{5}{24}[/tex].
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ2
