self Maths Puzzle

You have a balance and the following items of which you know the weights: a small coin weighing 5g, a pen weighing 10g, an eraser weighing 20g, a holepunch weighing 40g, and a stapler weighing 80g.

How many different possible weights can you measure with these items?

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self Other Question

Someone has mixed up the apples. Read carefully what has happened. Can you find a way to help solve the problem.

* There are 10 baskets containing apples.

* There are various amounts of apples in each basket ranging from 10 to 20.

* 9 of the baskets contain apples weighing 4 ounces each.

* 1 of the baskets contains apples weighing 5 ounces each.

* All the apples look the same.

* The equipment you have is a set of scales and an empty basket.

* It is late and the truck is waiting to take the apples to market. You only have time to make one measurement using the scales.

You have a balance scale with four weights. With these four weights you must balance any whole number load (in ounces) from 1 all the way up to 40.

How much should each of the four weights weigh?

(You may place weights on both sides of the scale at the same time.)