3x2 diophantine system
Source: Spanish Mathematical Olympiad 1983 P6
December 23, 2022
number theorysystem of equations
Problem Statement
In a cafeteria, a glass of lemonade, three sandwiches and seven biscuits have cost shilling and pence, and a glass of lemonade, four sandwiches and biscuits they are worth shilling and pence. Find the price of:
a) a glass of lemonade, a sandwich and a cake;
b) two glasses of lemonade, three sandwiches and five biscuits.
( shilling = pence).