The jones family and the Connor family both bought the same boxed package of sugar cubes at the store, in which the cubes were arranged in 5 layers. After drinking of 61 cups of tea, the Joneses found that they were out of sugar. The Connors' sugar box was enough to last them thought 88 cups of tea. Both families put either 2 or 3 pieces of sugar per cup. How many sugar cubes were in the box

Respuesta :

The number of sugar cubes in the box is 180

How to determine the number of sugar cubes?

The given parameters are:

  • Layers = 5
  • Pieces = 2 or 3
  • Cups of tea = 61 and 88

Multiply 61 and 88 by 2 and 3

61 * 2 = 122

61 * 3 = 183

88 * 2 = 176

88 * 3 = 264

The number of sugar cubes cannot be 122 and 264, because they are out of the range

So, we have:

183 and 176

There are 5 layers.

This means that the number of sugar cubes is divisible by 5.

The only number between 176 and 183 that is divisible by 5 is 180

Hence, the number of sugar cubes is 180

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