F.3 Maths

2012-02-01 7:59 am
F.3 Maths 要步驟+Answer !!< Linear Inequalities in One Unknown >1. The sum of the weights of Miss Wong and Mr Ho is notgreater than 124 kg. If the weight of Mr Ho is 1.5 times the weight of MissWong, find the maximum possible weight of Mr Ho.2. Dick wants to join a golf club. The Gloden clubmembership costs $350 per person anf $26 will be charged for each hour ofplaying time. The Silver club membership costs $200 per person and $40 will becharged for each hour of playing time. Let x be the number of hours that Dickplans to play.(a) Express the amount Dick has to pay, in terms of x,if he joins(1.) The Gloden club membership,(2.) The Silver club membership,(b)At least howmany hours should Dick play so that it costs less to join the Gloden clubmembership than Silver club membership ?

回答 (1)

2012-02-01 8:52 pm
✔ 最佳答案

1 Let the weight of Miss Wong be x, and the weight of Mr Ho be y
x+y≦124, y=1.5x
x+1.5x≦124
x≦49.8
y≦124-49.8≦74.2
The maximum possible weight of Mr Ho is 74.2kg.

2a1) $(26x+350)
2a2) $(40x+200)
b)$(26x+350)<$(40x+200)
150<14x
x>10.7
Dick should play at least 11 hours.


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