Planet Rocks

The rocks on the planet Uranus are very unusual. There are siz types of rock and the rocks of each individual type are all the same size and weight. You need to weigh them but, due to gravity, your scales will not weigh anything less than 25kg. By weighing different combinations of rocks you find the following:

    1 Trionite and 2 Planetites weigh 31 kg
    2 Bricons and 2 Calzites weigh 76kg.
    2 Micons and 1 Calzite weigh 44kg
    1 Planetite, 1 Zicon and 1 Trionite weigh 29kg
    1 Micon and 1 Calzite weigh 32kg
    2 Bricons and 3 Trionites weigh 81kg

Can you work out the weight of each type of rock and fill in the grid on the right using the numbers in the grid below? (You may find it easier to print this page out and cut out the numbers in the grid below to complete this task).

Weight In Kilograms
Trionite ? ?
Calzite ? ?
Planetite   ?
Bricon ? ?
Zicon   ?
Micon ? ?
1 2 3 4 5 6 7 8 9 0
1 2 3 4 5 6 7 8 9 0
1 2 3 4 5 6 7 8 9 0

 

UNICEF Rights Respecting Schools Anti-Bullying Alliance