Krista and Alexa played balloon darts in the school fair. Krista popped by balloons and Alexa pop n balloons. I will together. They popped a total of 13 balloons which equation can be used to determine the number of balloons Alexa popped. How many balloons did she popped?
Let's say the number of balloons Krista popped is represented by x, and the number of balloons Alexa popped is represented by y.
According to the given information, we know that Krista popped x balloons and Alexa popped y balloons. Together, they popped a total of 13 balloons.
So, the equation representing this information is x + y = 13.
We need to determine the number of balloons Alexa popped, which is represented by y.
Let's use the equation:
Krista's balloons popped + Alexa's balloons popped = Total balloons popped
Since we know that Krista popped 'k' balloons and Alexa popped 'n' balloons, we can rewrite the equation as:
k + n = 13
However, we don't know the exact value of 'k' (Krista's balloons popped), so we can't determine the number of balloons Alexa popped from this equation alone.
To determine the number of balloons Alexa popped, we can use the equation:
Alexa's balloons + Krista's balloons = total number of balloons popped
Let's assign variables to the unknown quantities:
Let A represent the number of balloons Alexa popped.
Let K represent the number of balloons Krista popped.
And 13 represents the total number of balloons popped.
Using the given information, we can set up the equation:
A + K = 13
Since Krista popped n balloons and Alexa popped n balloons, we can rewrite the equation:
A + n = 13
Now, we know that Krista popped by balloons, so we can substitute n into the equation:
A + 5 = 13
Simplifying this equation:
A = 13 - 5
A = 8
Therefore, Alexa popped 8 balloons.