Hassan sells fruits and vegetables at the marketThe mass of fruit and vegetables are in the ratio.

Mathematics

1 answer:

Slav-nsk [51]3 years ago

5 0

Answer:

950 kilograms

Step-by-step explanation:

Fruit: vegetables = 5:7

Fruit = 5

Vegetable = 7

Total ratio = 5 + 7 = 12

If Hassan sells 1.33 tones of vegetables

1 tonne = 1000 kilograms

1.33 tonnes of vegetables = 1330 Kilograms of vegetables

how many kilograms of fruits did he sell?

Let kilograms of fruits sold = x

Fruit: vegetables = 5:7

Fruit: vegetables = x : 1330

5 : 7 = x : 1330

5/7 = x/1330

Cross product

5 * 1330 = 7 * x

6,650 = 7x

x = 6,650/7

x = 950 kilograms

kilograms of fruits sold = 950 kilograms

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You have $6000 with which to build a rectangular enclosure with fencing. The fencing material costs $30 per meter. You also want

Roman55 [17]

Refer to the figure shown below.
x = the width of the rectangle (meters)
y = the height of the rectangle (meters(

The fencing for the perimeter of the rectangle costs $30 per meter.
The two inner partitions cost $25 per meter.

The total cost of the fencing is
C = 2(x+y)*$30 + 2y*$25
= 60(x+y) + 50y
= 60x + 110y

Because the amount available to spend is $600, therefore
60x + 110y = 6000
or
6x + 11y = 600
That is,
y = (600 - 6x)/11 (1)

The area is
A = x*y (2)

Substitute (1) into (2).
A = (x/11)*(600 - 6x) = (1/11)*(600x - 6x²)

To maximize A, the derivative of A with respect to x is zero.
That is,
600 - 12x = 0
x = 600/12 = 50
From (1), obtain
y = (1/11)*(600 - 6*50) = 300/11 = 27.273

Because the second derivative of A with respect to x is negative, x=50, y = 27.273 will yield the maximum area.

The maximum area is
50*27.273 = 1363.64 m² = 1364 m² (nearest integer)

Answer: 1364 m² (nearest integer)