7 apples cost $4.00, 9 oranges cost $11.00. James bought a total of 1000 apples and oranges for $999.00. How many apples and how many oranges did he buy?
7 apples cost $4.00, 9 oranges cost $11.00. James bought a total of 1000 apples and oranges for $999.00. How many apples and how many oranges did he buy?
A==Apples, 1000 - A==Oranges
$4 / 7 ==Price of 1 apple
$11 / 9 ==Price of 1 orange.
4/7A + 11/9 * [1000 - A] ==999.00, solve for A
A==343 apples that James bought
1000 - 343 ==657 oranges that James bought.
Check: [343 / 7 * $4] + [657/9 * $11]==$196.00 + $803.00==$999.00