By solving a system of equations, we will see that you ate 2 bananas, 4 apples, and 6 blueberries.
How to get the system of equations?
Let's define the variables:
- a = number of apples.
- b = number of bananas.
- r = number of blueberries.
We know that you ate 12 fruits, then we can write:
a + b + r = 12
We also know:
"you ate twice as many apples as bananas"
a = 2b
"you at 3 times as many blueberries as bananas"
r = 3b
Then our system of equations is:
a + b + r = 12
a = 2b
r = 3b
Now, we can replace the second and third equations on the first one, to get:
2b + b + 3b = 12
6b = 12
b = 12/6 = 2
So you ate 2 bananas.
Wit that, we can solve:
a = 2b = 2*2 = 4
r = 3b = 3*2 = 6
So you also ate 4 apples and 6 blueberries.
If you want to learn more about systems of equations, you can read:
https://brainly.com/question/13729904
