F3 Maths -- Need Steps (1)

2007-08-12 7:30 pm
F3 Maths Need Steps Thx~

1) Dicky is given $65 to buy applesand oranges for a birthday party. An apple costs $2, an orange costs $1.5.
a)Find tha max. & min. numbers of fruits he can buy.
b) Suppose he decides to buy at least 5 of each type of fruit. Find tha max. no. of the fruits he can buy.

2 )Solve 2^x+2 - 2^x = 48

3) The selling price of a dozen of eggs is equal to the cost price of 15 eggs. Find the percentage profit.

回答 (2)

2007-08-12 8:01 pm
✔ 最佳答案
a Max no=65/1.5
=43.333..
He can buy 43 fruits
Min no=65/2
=32.5
He can buy 32 fruits
b Max no=(65-2*5)/1.5+5
=41.1666.....7
Max =41
2 2^(x+2)-2^x=48
(4-1)*2^x=48
2^x=16
x=4
3 (15-12)/12*100%=25%

2007-08-12 12:03:18 補充:
Next time,please enter ( ) in index,else the answer may be affected!!I do not know your 2^x 2 is 2^(x 2) of (2^x) 2.Please write clearly.

2007-08-12 12:04:17 補充:
b) Max no=(65-2*5)/1.5 5=41.666.....71 is mistyped

2007-08-12 22:52:12 補充:
His x represents the constant(like k)
2007-08-12 8:01 pm
1) a) he buy min no. of fruits if he buy apples only
=65/2 =32.5
-> he can buy min 32 fruits
he buy max no of fruits if he buy oranges only
=65/1.5 =43.33
-> he can buy max 43 fruits
b) he buy max no. of fruits if he buy oranges only on top of 5 apples
= (65-5*2)/1.5 +5
=41.67
->he can buy max 41 fruits

2) [你有冇抄錯題目呀!!我改一改個題目黎計啦]
2^(x+2)-2^x=48
2^x * 2^2-2^x=48
2^x (2^2-1)=48
2^x =48/3
xlog2=log 16 (如果未學log的話就咁: 2^x=2^4)
x=4

3)let cost price of one egg be x
% profit =(15x-12x)/12x * 100%
=25%


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