Question

A government buys `x`fighter planes at `z` dollars each, and `y` tons of wheat at w dollars each. It spends a total of `B`dollars, where `B=xz+yw`. Write an equation whose solution is the given quantity:
2. The price of a ton of wheat, given that a fighter plane costs 100,000 times as much as a ton of wheat, and that the government bought 20 fighter planes and 15,000 tons of wheat for a total cost of $90 million.

Answer 1

The equation whose solution is the given quantity is 90,000,000 = 2,000,000w + 15,000w where w = $44.67

Equation

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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