Find the cost of each item

Question

2 knives and 3 forks cost sh.6800 while 6 knives and five forks cost sh.16400. Find the cost of each item.

Answer 1

Here is a start:

2k + 3f = 6800 ....call this equation 1

6k + 5f= 16400...call this equation 2

Then, solve for k using equation 1

Take the result: k = 1/2( 6800 - 3f) and substitute the right hand side wherever you see "k" in equation 2.

You will find that f = 1000

Then evaluate k by substituting 1000 for "f" in equation 1.

Answers: k =1900 and f = 1000.

Double check your work - check that these results work in both equations. Try it for yourself or contact me for tutoring!