Solution:
Number of wooden boards that Pierre possess= 220
Number of nails that Pierre have= 760
The two expression which represents the number of tables T and chairs C he can make with 220 wooden boards and 760 nails
1. 13 T+8 C≤220
2. 48 T+37 C≤760
We can solve it by two methods, either graphically or by finding their point of intersections,as these two are inequalities in two variable
Equation (1) × 37 - Equation (2) × 8
481 T + 296 C-384 T -296 C≤8140 - 6080
97 T ≤ 2060
T ≤ 21.23(approx)
Putting the value of T in equation (1),
13 × 21.23 + 8 C ≤ 220
347.80 + 8 C≤220
8 C ≤ 220 - 347.80
8 C≤-127.80
As, the value of Chairs (C) can't be negative.
So, the two inequalities which represents number of chairs and number of tables is incorrect.
So, we can't find total number of chairs and total number of tables with the given inequalities.
<span>Hence
2L + C = 1.4
-2L - 6C = -3.4
Add (This will eliminate 'L' )
-5C = -2.0
5C = 2.0
C = 0.4 = £0.40p
2L + 0.4 = 1.40
2L = 1.40 - 0.40 = 1.00
L = 0.50 = £0.50p.
Hence a lemonade (L) costs £0.50p & a Crisps (C) costs £0.40p.</span>
Put your information into a ratio
14 : 70 (wire : cost)
Change the amount of wire to 9
14/14 : 70/14
1 : 5
1 X 9 : 5 X 9
9: 45
Therefore 9 inches of wire costs 45 cents :)
The largest area that can be enclosed will be that of a square (140 ft)/4 = 35 ft on a side. Such a square has an area of (35 ft)² = 1225 ft², not enough for the garden to be 1300 ft². This tells us the solution to the equation you're being asked to write is non-real.
_____
Putting the given numbers in the area equation, you have
... 1300 = 70w -w²
Multiplying by -1 and completing the square, we have
... w² -70w +35² = -1300 +35²
... (w -35)² = 1225 -1300 = -75
Taking the square root shows us the solution is non-real.
... w - 35 = ±√(-75) = ±5i√3
... w = 35 ± 5i√3 . . . . . . . . . after adding 35. These are complex solutions.
350 ÷ 6 = 58.33
58.33 pounds of chocolate per hour
58.33 × 10 = 583.3
583.33 pounds of chocolate in 10 hours
