A high school purchases two workbooks for every textbook, and two journals for every workbook. If the school purchases 301 total items, how many of each do they need?

Let

w = number of workbooks

t = number of textbooks

j = number of journals

If the school purchases 1 textbook, it purchases 2 workbooks

∴ w = 2t

If the school purchases 1 workbook, it purchases 2 journals

∴ j = 2w

∴ j = 2 * (2t)

∴ j = 4t

The school purchases a total of 301 items

∴ w + t + j = 301

∴ 2t + t + 4t = 301

∴ 7t = 301

∴ t = 301 / 7

∴ t = 43

∴ w = 2t = 43 * 2 = 86

∴ j = 4t = 4 * 43 = 172

Therefore,

No. of workbooks = 86

No. of textbooks = 43

No. of journals = 172