In a game of Basketball, Toronto Raptors beat Boston Celtics by 9 points. If the total score of both teams was 217 points, how many points did the Boston Celtics score?
Question
In a game of Basketball, Toronto Raptors beat Boston Celtics by 9 points. If the total score of both teams was 217 points, how many points did the Boston Celtics score?
Solution 1
Sure, here's how you can solve this problem:
Step 1: Let's denote the score of Toronto Raptors as R and the score of Boston Celtics as C.
Step 2: From the problem, we know that the Raptors beat the Celtics by 9 points. So, we can write this as: R = C + 9.
Step 3: We also know that the total score of both teams was 217 points. So, we can write this as: R + C = 217.
Step 4: Now we can substitute the value of R from the first equation into the second equation. So, we get: (C + 9) + C = 217.
Step 5: Simplify this equation to find the value of C. This gives: 2C + 9 = 217.
Step 6: Subtract 9 from both sides of the equation. This gives: 2C = 217 - 9 = 208.
Step 7: Finally, divide both sides of the equation by 2 to find the value of C. This gives: C = 208 / 2 = 104.
So, the Boston Celtics scored 104 points.
Solution 2
Sure, here's how you can solve this problem:
Step 1: Let's denote the score of Toronto Raptors as R and the score of Boston Celtics as C.
Step 2: From the problem, we know that the Raptors beat the Celtics by 9 points. So, we can write this as: R = C + 9.
Step 3: We also know that the total score of both teams was 217 points. So, we can write this as: R + C = 217.
Step 4: Now we can substitute the value of R from the first equation into the second equation. So, we get: (C + 9) + C = 217.
Step 5: Simplify this equation to find the value of C. This gives: 2C + 9 = 217.
Step 6: Subtract 9 from both sides of the equation. This gives: 2C = 217 - 9 = 208.
Step 7: Finally, divide both sides of the equation by 2 to find the value of C. This gives: C = 208 / 2 = 104.
So, the Boston Celtics scored 104 points.
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