Paying Five Pounds in Shillings and Sixpences

In how many ways can £5 be paid in shillings and sixpences, including zero solutions?

~8 minAnswer checked instantlyDiophantine equationsCounting

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. X. Miscellaneous Equations, Examples X.d, No. 14

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).