Amy bought 16 forks and 10 spoons for $106.40. Ben bought 10 forks and 6 spoons for $60.20. Cathy wants to buy 5 forks and 5 spoons. How much would Cathy have to pay?

(i need to solve by a non-algebraic solution)

2 answers

Your question is flawed.
Solving for F (fork) and S (spoon) I got
F = -9.1 and S = 25.2

check:
16(-9.1) + 10(25.2) = 106.4
10(-9.1) + 6(25.2) = 60.2

The cost of either one cannot be negative,
Check your question.
sorry made a mistake in quantity of spoons amy bought is 12.