helpmeplzandty
01.02.2021 •
Mathematics
A series of maths books consists of four volumes. The first has x pages and the second has 54 more. The third and fourth volumes have 32 more pages than the second volume. The number of pages of all volumes is 866. Calculate the number of pages in each volume.
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Ответ:
1st volume = 160
2nd volume = 160 + 54 = 214
3rd volume = 160 + 54 + 32 = 246
4th volume = x + 54 + 32 = 246
Step-by-step explanation:
Given that:
Number of volumes = 4
1st volume = x pages
2nd volume = 54 more = x + 54
3rd volume = 32 more = x + 54 + 32
4th volume = 32 more = x + 54 + 32
Total number of pages = 866
Hence,
1st + 2nd + 3rd + 4th = 866
x + x + 54 + x + 54 + 32 + x + 54 + 32 = 866
4x + 226 = 866
4x = 640
x = 160
1st volume = 160
2nd volume = 160 + 54 = 214
3rd volume = 160 + 54 + 32 = 246
4th volume = x + 54 + 32 = 246
Ответ: