The equation whose solution is the given quantity is 90,000,000 = 2,000,000w + 15,000w where w = $44.67
<h3>Equation</h3>
B = xz + yw
Where,
- B = Total cost = 90
- x = number of fighter plane = 20
- y = tons of wheat = 15,000
- w = cost of each tons of wheat
- z = cost of fighter plane
- z = 100,000w
B = xz + yw
90,000,000 = (20 × 100,000w) + (15,000 × w)
90,000,000 = 2,000,000w + 15,000w
90,000,000 = 2,015,000w
w = 90,000,000 / 2,015,000
= 44.6650124069478
Approximately,
w = $44.67
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The trick is to write appropriate equations and then solve the system of equations you've created.
"sum of two numbers is -5:" x + y = -5
"difference is -1:" x-y = -1
Add these two equations together. This will cause y to drop out, and you will be left with an equation in x alone:
2x = - 6, so x = -3. Subst. -3 for x in either equation, above, and find the corresponding y value.
Then write your solution as (-3, y ) (write in your value for y).
4k(3n+2) this is basically just factoring out a common multiple which in this case is a k and a 4