Jason and Ron together have 97 baseball cards. Jason has four more than twice as many cards as ron. How many baseball cards does each person have?
set it up as equations. jason has 4 MORE THAN TWICE as many as ron. we know more than means? and that twice means?
Let's say Jason has "x" amount of cards and Ron has "y" amount of cards. Equation 1) Together, they have 97 cards, so say: x + y = 97 Equation 2) Jason has 4 more than twice as many cards as Ron. Jason's cards = (Twice Ron's cards) + 4 Twice Ron's cards is the same thing as "2y," so just put that and the symbol for Jason's cards into the equation --> x = (2y) + 4 So your two equations are: 1) x + y = 97 2) x = 2y + 4 One of the equations tell you what x is equal to, so just sub the second equation into the first. Equation 1 changes from: x + y = 97 --> (2y + 4) + y = 97 Combine like terms and simplify to give you: 3y + 4 = 97 Subtract 4 from both sides then divide both sides by 3: y = 31 So now we know Ron has 31. We also know both their cards combined is 97, so just subtract 31 from 97 to find how many cards Jason has: 97 - 31 = ?
66
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