Using conversion factors to solve problems!!?

Question

Can you please help me with this problem:?

Emm drinks 4 cups of water a day. Find the total number of gallons of water she drinks in a year.

If you can solve this please do and tell/explain to me how you did. Thanks!!

Answer 1

First of all, find out how many cups are in a gallon. the answer is 16. so 4 cups is 1/4 of a gallon. so, take .25, and multiply it by the number of days in a year (365), and get your answer, 91.25 gallons. Hope this helped.

By the way, this web site will help you with almost any conversions you will ever need.

http://www.onlineconversion.com/

Answer 2

Best to use dimensions and let them cancel to give you the right units. That way your math is self checking. Also do only one step at a time to avoid errors.

4 c/day x 365 day/year  = 1460 c/yr

The days cancel

2 cups/pint

2 pints/quart

4 quarts/gal

1460 c/yr / 2 cups/pint = 730 pints/yr

730 pints/yr / 2 pints/quart = 365 quarts/yr

365 quarts/yr / 4 quarts/gal = 91.25 gal/yr

______________

22 feet in 2 seconds = 11ft/sec

11ft/sec / 5280 ft/mi = 0.002083 mi/sec

0.002083 mi/sec x 3600 sec/hr = 7.5 mi/hr

Answer 3

4 multiplied by the number of days in a year gives you the answer in cups.

Dividing this by the number of cups in a gallon gives you the answer in gallons.