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Nuts in a Bowl

Scattered around the house are 100 nuts in 5 bowls. The 1st and 2nd bowls together contain 48 nuts. The 2nd and 3rd bowls together contain 34. The 3rd and 4th bowls together contain 30. The 4th and 5th bowls together contain 48.

How many nuts are there in each bowl?

Please explain your strategy and show a check of your answer.

Solution

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