if the price of an orange was raised by 1/2k per orange, the number of oranges a customer can buy for #2.40 wil be less than 16.what is the price of an orange

Answer 1

not sure what the "k" is, but assuming it's a currency symbol, we have, letting the price be p per orange,

2.40/(p + 1/2) < 16
2.40 < 16p + 8
-5.60 < p

That indicates that p can be any positive value.

Better explain just what you want to know.

Answer 2

Let x represent the price of an orange and

y represent the number of oranges that can be bought

xy = 240k, y = 240x.....(i)

If the price of an oranges is raised by 12k per orange, number that can be bought for N240 is reduced by 16

Hence, y - 16 = \frac{240}{x + \frac{1}{2}

= 4802x+1

= 4802x+1.....(ii)

subt. for y in eqn (ii) 240x - 16

= 4802x+1

= 240−16xx

= 4802x+1

= (240 - 16x)(2x + 1)

= 480x

= 480x + 240 - 32x2 - 16

480x = 224 - 32x2

x2 = 7

x = 7–√

= 2.5k