代數題(20分)(長答)

2008-01-15 2:49 am
2. Benny had 400 shares of a shock each at $12. He then sold 250 shares each at $10.5 and 150 shares each at $13. How much did he gain or loss?

3.(後面幾題用代數式計)
A hockey team played 24 games. The number of games that they won was 10 more than they lost. The number of games that they lost was 2 less than that they tied. How many games did they win,lose and tie?

回答 (4)

2008-01-15 3:51 am
✔ 最佳答案
2. let G be gain
G=250X10.5+150X13-400X12
G= 2625+1950-4800
G=4575-4800
G=-225
Benny total loss $225.

3.let X be the games win,
let Y be the games lost,
let Z be the games tie.
(1) X+Y+Z=24
(2) X=Y+10 => Y=X-10
(3) Y=Z-2 => Z=Y+2 => Z=(X-10)+2 => Z=X-8

FROM(1) : X+Y+Z=24
X+(X-10)+(X-8)=24
X+X-10+X-8=24
3X=24+18
3X=42
X=14,
FROM (2) : Y=X-10 => Y=14-10 => Y=4
FROM (3) : Z=Y+2 => Z=4+2 => Z=6
The hockey team win 14 games,
lost 4 games,
tie 6 games.
2008-01-15 3:45 am
The total amount of money he got after he sold all his shares:
=250X10.5+150X13
=2625+1950
=4575
The original cost of the shares:
=400X12
=4800
Therefore he lose:
=4800-4575
=225
2008-01-15 3:03 am
2. He lost
= 12 x 400 - 10.5 x 250+13 x 150
= $225

3. Let x be the number of games they won.
Then the number of games they lost is x-10
and the number of games they tied is x-10+2

x + ( x-10) + ( x-10+2 ) = 24
3x=42
x=14

∴They won 14 games and lost 4 games and also tied 6 games.
2008-01-15 2:55 am
3.let x be the no. of games they lost
x+x+10+x+2=24
3x=12
x=4
the no. of games they lost is 4
the no. of games they won
=4+10
=14
the no. of games they tied
=4+2
=6


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