Part A
Answers:
x+y = 125
x = y+45
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Explanation:
The first equation represents Angela playing both sports a combined 125 minutes. We simply add the variables x and y to represent adding the times for soccer (x) and golf (y).
Because she plays soccer 45 minutes more compared to golf, we also have the equation x = y+45.
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Part B
Answer: 40 minutes
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Explanation:
The second equation from part A says x = y+45
Because of this, we'll replace the 'x' in the first equation with y+45 and solve for y. I'm using the substitution rule.
So,
x+y = 125
y+45+y = 125 .... replace x with y+45
2y+45 = 125
2y = 125-45
2y = 80
y = 80/2
y = 40 minutes is the amount of time playing golf per day.
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Part C
Answer: No it's not possible.
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Explanation:
We found that y = 40 earlier. Let's used this to find x
x = y+45
x = 40+45
x = 85
Therefore, Angela spends 85 minutes playing soccer everyday. It's close to 80 minutes, but not quite there. So it's not possible that she spent 80 minutes playing soccer everyday.
Another way to show this is to say x+y = 80+40 = 120 which is five minutes short of the 125 minute goal.
