Question 879582: Mac and his brother Ted collect coins. Mac's collection contains 8 more than twice as many as Ted's. If the total number of coins in the two collections is 74, how many coins are in each collection?
If x represents the number of coins in Ted's collection, then which expression represents the number of coins in Mac's collection?
Answer by dawnk925(6) (Show Source):
You can put this solution on YOUR website! Mac and his brother Ted collect coins. Mac's collection contains 8 more than twice as many as Ted's. If the total number of coins in the two collections is 74, how many coins are in each collection?
If x represents the number of coins in Ted's collection, then which expression represents the number of coins in Mac's collection?
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To find the number of coins in Mac's collection, we should first find the number of coins in Ted's collection.
The number of coins in Ted's collection = x
The number if coins in Mac's collection = 2x+8
x+2x+8=74 1) Combine like terms
3x+8=74 2) Subtract
3x=66 3) Divide
x=22 <---- This is the number of coins in Ted's collection. Lets plug this number into 2x+8 to find how many coins Mac has.
2(22) +8 = 52
So Mac has 52 coins.
Hope this helped!
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