Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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?

Sagot :

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
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.