### Rule of Three

If it takes four men one day to build a wall, how long does it take 60,000 men to build a similar wall?

### Balancing 1

Meg and Mo need to hang their marbles so that they balance. Use the interactivity to experiment and find out what they need to do.

### Balancing 2

Meg and Mo still need to hang their marbles so that they balance, but this time the constraints are different. Use the interactivity to experiment and find out what they need to do.

# Oh for the Mathematics of Yesteryear

##### Stage: 3 Challenge Level:

A garrison of $600$ men has just enough bread to allow $24$ ounces a day to each man for $35$ days; but, with the news that the enemy was planning an attack, the garrison was forced to reinforce to $4 800$ men. The enemy arrives and decides to enforce a siege - to reduce their own loss of life. How many ounces of bread a day must each man in the garrison be allowed, to hold out $45$ days against the siege of the enemy?

If the transport of $60$ cwt. (hundredweights) of bread for $20$ miles costs the garrison $£14 \; 10\text{s}$. (i.e. Fourteen pounds ten shillings), what weight can be carried $30$ miles for $£5 \; 8\text{s } 9 \text{d}$?

n.b. in those days:

$12$d(pennies) = $1$s (shilling)

$20$s = $£1$ (pound)

$16$ ounces = $1$ lb (pound - "weight")

$112$ lb= $1$ cwt