You may also like

problem icon

Overturning Fracsum

Solve the system of equations to find the values of x, y and z: xy/(x+y)=1/2, yz/(y+z)=1/3, zx/(z+x)=1/7

problem icon

Bang's Theorem

If all the faces of a tetrahedron have the same perimeter then show that they are all congruent.

problem icon

Rudolff's Problem

A group of 20 people pay a total of £20 to see an exhibition. The admission price is £3 for men, £2 for women and 50p for children. How many men, women and children are there in the group?

Gift of Gems

Stage: 4 Challenge Level: Challenge Level:1
In this problem you are only given enough information to find the values of rubies, saphires and diamonds relative to the price of a pearl.

Try writing down what each jeweller has after he has made his gift. These four collections all have equal value. Use that to find other statements you can make about a number of one kind of gem matching for value a number of another kind of gem.