Mac and his brother Ted collect coins. Mac's collection contain 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?

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Answer 1 · 2016-07-23T05:39:56

Number of coins with Ted $= 22$ $=22$

Number of coins with Mac $= 52$ $=52$

Let us assume the number of coins with Ted $= x$ $=x$

Then Number of coins with Mac $= 2 x + 8$ $=2x+8$

Total Number of coins $= 74$ $=74$

Then -

$x + 2 x + 8 = 74$ $x+2x+8=74$
$3 x + 8 = 74$ $3x+8=74$
$3 x = 74 - 8 = 66$ $3x=74-8=66$
$x=cancel66/cancel3=22$

Number of coins with Ted $=22$

Number of coins with Mac $=2(22)+8=44+8=52$