NRICH: Lattice Points on a Line
How many lattice points are there in the first quadrant that lie on the line 3x + 4y = 59 ?
A point whose x and y coordinates are both whole numbers is called a lattice point.
How many lattice points that lie on the line 3x+4y=59 are there in the first quadrant (where both x and y coordinates are positive)?
This problem is adapted from the World Mathematics Championships
Age 11 to 14
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How many lattice points are there in the first quadrant that lie on the line 3x + 4y = 59 ?
A point whose x and y coordinates are both whole numbers is called a lattice point.
How many lattice points that lie on the line 3x+4y=59 are there in the first quadrant (where both x and y coordinates are positive)?
This problem is adapted from the World Mathematics Championships
Age 11 to 14