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 ✔
Let's say team B has x points. That means that team A has x+12 points, or 5x points, as mentioned in the question. If the points that Team A has acquired can both be represented as x+12 and 5x, then these values are equal and solved for 'x': x+12=5x Minus x on both sides 12=4x Divide both sides by 4 3=x So, Team B (x) has 3 points, and Team A (x+12 or 5x) has 15 points.