David Weber, Talei Kunkel, Harriet Simand and, Justin Medved Solutions for Chapter: Numbers and Number Systems Civilizations and Human Interactions, Exercise 22: Practice 7

At the $2018$ World Cup in Russia, one group of tickets cost $P975$ while another group of tickets in the same category cost $P1170$. What is the most a ticket could cost?

Saturn orbits the sun every $12$ years, Jupiter every $30$ years, and Uranus every $84$ years. In how many years from now will all three planets have the same positions in the sky as they do today?

You are making emergency relief kits to give to bushfire victims. Bottles of water come in crates of $30$; there are $24$ cans of food in each carton; and beef jerky protein packs are in boxes of $80$. You would like to create kits with one in each, with nothing left over What is the smallest number of kits you can make?

Quilting (stitching together of layers of fabric) dates back to Ancient Egypt, and the oldest quilt discovered is from about $5500$ years ago. Today, many bedspread quilts consist of small squares sewn together. If you wanted to create a quilt for your bed measuring $42$ inches by $78$ inches, with squares of quilted fabric, what are the dimensions of the largest squares you could use? How many squares would there be?

The Mayans of south-eastern Mexico and northern Central America had two calendars of different lengths. The Haab' is $365$ days and follows the solar year. There is also a sacred calendar called the Tzolk'in, which has a $260$ day cycle. The Calendar Round is made from the connection between the two calendars. The duration of the Calendar Round is when both calendars start again on the same day.

Calculate the duration of the Calendar Round.

The Mayans of south-eastern Mexico and northern Central America had two calendars of different lengths. The Haab' is $365$ days and follows the solar year. There is also a sacred calendar called the Tzolk'in, which has a $260$ day cycle. The Calendar Round is made from the connection between the two calendars. The duration of the Calendar Round is when both calendars start again on the same day.

Calculate the duration of the Calendar Round.

The Mayans believed that when a person lives for the duration of the Calendar Round, they will attain the special wisdom of an elder. At what age (in years) is this using the Haab' calendar?