The library had a total collection of 2630the number of non fiction books was 240 less than that of fiction books but 190 more than the number of picture bookshow many books of each type were there?
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Total number of books = 2630
Let the number of fiction books be x , number of non fiction books be y and the number of picture books be z
y = x - 240 ....................(1)
y = 190 + z ...................(2) (given statement)
Therefore,
x-240 = 190+z
x = 240 + 190 + z
x = 430 + z
z = x - 430 ..................(3)
x + y + z = 2630
x + (x-240) + (x-430) = 2630
3x -670 = 2630
3x = 2630 + 670
3x = 3300
x = 1100
According to eq 1 : y = x-240
y = 1100 - 240
y = 860
According to eq 3 : z = x-430
z = 1100-430
z = 670
Therefore,
The number of fiction books = 1100
The number of non fiction books = 860
The number of picture books = 670
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