Question

If a brick balances evenly with three quarters of a pound and three quarters of a brick what is the weight of a whole brick?

Answer 1

A whole brick weighs one pound. This is determined by the balance where three quarters of the brick equals three quarters of a pound.

Explanation:

In this scenario, the equilibrium of the balance implies that three quarters of the brick's weight is equivalent to three quarters of a pound on the other side. This relationship forms the basis of a proportion, expressed as
`\( \frac{3/4 \, \text{brick}}{3/4 \, \text{pound}} = \frac{1 \, \text{brick}}{x} \),` where ( x ) represents the weight of the whole brick.

By cross-multiplying, we ascertain that
`\( 3/4 * x = 3/4 * 1 \)`, leading to ( x = 1 ) pound. Consequently, the weight of the entire brick is established as one pound, a conclusion drawn from the equilibrium in the balance, affirming the equivalence of three quarters of the brick to three quarters of a pound.

This mathematical approach demonstrates the application of proportions to determine the weight of the complete brick in the given balancing context.

Answer 2

three quarters of a pound and thee quarters of a brick?

Explanation:

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