A total of 925 tickets were sold for €5 925. If adult tickets cost €7·50, and children’s tickets cost €3·00 , how many tickets of each kind were sold?
Solution
x = 700
y = 225
700 225 ✓
Practice questions 21.4 1.
225 ✓
If twice the age of a son is added to the age of his father, the sum is 56. If twice the age of the father is added to the age of the son, the sum is 82. Let the father’s age be y and the son’s age be x .
(i) Write two equations in terms of x and y . (ii) Solve these equations simultaneously to fi nd the ages of the father and son.
2. John thinks of two numbers. If he adds them together he gets 8. If he multiplies one of them by four and the other by two and then adds them, he gets 22. Let one number be x and the other number be y .
(i) Write two equations in terms of x and y . (ii) Solve these equations algebraically to fi nd two numbers.