Planes and wheat
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 $B = xz + yw$. In (a)–(c), write an equation whose solution is the given quantity.
- The number of tons of wheat the government can afford to buy if it spends a total of \$100 million, wheat costs \$300 per ton, and it must buy 5 fighter planes at \$15 million each.
- The price of fighter planes if the government bought 3 of them, in addition to $10,\!000$ tons of wheat at \$500 a ton, for a total of \$50 million.
- 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.