a crate contains apples, pears, and oranges.There are 184 apples and pears and 248 apples and oranges. there are 3 times as many oranges as pears. how many apples are in the crate?
AAAaannndd the bot gets it wrong yet again!
That would mean there were zero pears.
a+p = 184
a+o = 248
o = 3p
So there were 152 apples
Nope, wrong again Mr. bot
How can there be 184 apples, when apples + pears = 184 ??
real answer:
apples -- 152
pears ----- 32
oranges - 96
all conditions are met
correcting this bot is turning into a fun game, but hard to keep up,
since there are so many errors.
To solve this problem, we need to set up a system of equations. Let's assign variables to the unknown quantities.
Let's say:
A = number of apples
P = number of pears
O = number of oranges
From the given information, we can establish the following equations:
Equation 1: A + P = 184 (There are 184 apples and pears combined)
Equation 2: A + O = 248 (There are 248 apples and oranges combined)
Equation 3: O = 3P (There are 3 times as many oranges as pears)
Now let's solve the system of equations.
First, we substitute Equation 3 into Equation 2:
A + 3P = 248
Next, we solve this equation for A:
A = 248 - 3P
Now we substitute Equation 1 into the newly formed equation:
(184 - P) = 248 - 3P
Simplify the equation:
184 - P = 248 - 3P
To gather like terms:
-2P = -64
Divide both sides by -2 to solve for P:
P = 32
Now substitute the value of P back into Equation 1 to solve for A:
A + 32 = 184
A = 184 - 32
A = 152
Therefore, there are 152 apples in the crate.