SOLUTION: I have a pocket full of coins. One half of the coins are £1 coins.One third of the coins are 20p coins. The rest of the coins are 50p coins with a total of £1.50. What is the total

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Question 1086838: I have a pocket full of coins. One half of the coins are £1 coins.One third of the coins are 20p coins. The rest of the coins are 50p coins with a total of £1.50. What is the total value of my coins ?
Found 2 solutions by Fombitz, MathTherapy:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
D-number of pound coins
T-number of 20p coins
F-number of 50p coins
1.D=%28D%2BT%2BF%29%2F2
.
.
2.T=%28D%2BT%2BF%29%2F3
.
.
3.50F=150
F=3
Substituting,
2D=D%2BT%2B3
4.D-T=3
and
3T=D%2BT%2B3
5.2T-D=3
Adding 4 and 5,
D-T%2B2T-D=3%2B3
T=6
and finally,
D-6=3
D=9

Answer by MathTherapy(10549) About Me  (Show Source):
You can put this solution on YOUR website!

I have a pocket full of coins. One half of the coins are £1 coins.One third of the coins are 20p coins. The rest of the coins are 50p coins with a total of £1.50. What is the total value of my coins ?
½ are £1 coins, and 1%2F3 are 20p coins, so 1+-+%281%2F2+%2B+1%2F3%29, or 1%2F6 are 50p coins

With V being the total value of all coins, we get the following PROPORTION: %281%2F6%29%2F1+=+1.5%2FV

V%2F6+=+1.5 ------ Cross-multiplying

Total value of coins, or