Respuesta :
Answer: On the eighth day of diet both animals will be having same calories.
1900 calories each animal will be consuming each day.
Answer:
They will both be consuming 2000 calories in 6 days.
Step-by-step explanation:
First you need to make an expression for each animal. x will represent the number of days.
Simba [tex]1220 + 130x[/tex]
Cuddles [tex]3080 - 180x[/tex]
These represent the number of calories they will be consuming on any given day. Since you want to know when they will be the same, you set them equal to each other, and solve for x.
[tex]1220+130x=3080-180x[/tex]
subtract 1220 from both sides
[tex]130x = 1860 - 180x[/tex]
add 180x to both sides
[tex]310x = 1860[/tex]
divide both sides by 310 to get x by itself
[tex]\frac{310x}{310} = \frac{1860}{310} \\ \\ x = 6[/tex]
to find out how many calories they will be eating on day 6, simply plug 6 in to either expression, since they will be the same.
[tex]1220 + 130 (x) \\ 1220 + 130(6)\\ 1220 + 780 \\ 2000[/tex]