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)
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.
To solve this without using algebra, we can use the given information to find the individual prices of forks and spoons. We'll then multiply the number of forks and spoons Cathy wants by their respective prices, and add the two amounts together to find the total amount Cathy would have to pay.
Let's start by calculating the price per fork for Amy and Ben. We'll divide the cost of forks by the number of forks each person buys:
For Amy: $106.40 / 16 forks = $6.65 per fork
For Ben: $60.20 / 10 forks = $6.02 per fork
Next, let's calculate the price per spoon for Amy and Ben:
For Amy: $106.40 / 10 spoons = $10.64 per spoon
For Ben: $60.20 / 6 spoons = $10.03 per spoon
Now that we know the prices per fork and spoon, we can calculate the amount Cathy would have to pay:
Total cost of forks: 5 forks * ($6.65 per fork from Amy) = $33.25
Total cost of spoons: 5 spoons * ($10.64 per spoon from Amy) = $53.20
Adding the cost of forks and spoons together, Cathy would have to pay:
$33.25 + $53.20 = $86.45
Therefore, Cathy would have to pay $86.45.