Team Green and Team Blue play in a competition. Team Green has twelve more points than Team Blue. Team Green has four times as many points as Team Blue.
How many points does each team have?

Team A: 15 points

Team B: 3 points

Team A has twelve more points than Team B:

A = B + 12

Team A has five times as many points as Team B:

A = B × 5

A = 5B

substitute "A" with "B + 12" to solve for B:

A = 5B

(B + 12) = 5B

B + 12 = 5B

12 = 5B - B

12 = 4B

3 = B

Team B has 3 points

now substitute "B" with 3 to solve for A:

A = 5B

A = 5(3)

A = 15

Team A has 15 points

Check your answer by inputting both values into either equation:

A = 5B

(15) = 5(3)

15 = 15 ✔

A = B + 12

(15) = (3) + 12

15 = 15 ✔

team A has 16 points and team B has 4 points

Step-by-step explanation:

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