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 A + 9 O --> 1000 Use 7 A and 9 O for the number of apples and oranges respectively to avoid handling fractions or decimals
4 A + 11 O --> 999
28 A + 36 O --> 4 x 1000 = 4000
28 A + 77 O --> 7 x 999 = 6993
41 O --> 6993 - 4000 = 2993
9 O --> 9/41 x 2993 = 657 oranges
7 A --> 1000 - 657 = 343 apples
He bought 343 apples and 657 oranges.
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