Question

At the Crab Shack, a party of four ordered crab cakes and another party of four ordered shrimp. Their total bill was $31.

However, if only two people ordered the crab cakes and one person ordered the shrimp, the bill would have been $12.25.

How much was each order of crab cakes and shrimp?


Crab cakes - $4.50;Shrimp - $3.25

Not enough information

Crab cakes - $2.04;Shrimp - $4.08

Crab cakes - $3.25;Shrimp - $4.50

Answer 1

Let c and s be the cost of each crab cake and shrimp dish respectively.
Solve the following equations for c and s,\[\{4c+4s=3100,2c+s=1225\}\]where the costs are in pennies.

c=450 and s=325 or
c=$4.50 and s = $3.25

Answer 2

so just plug the prices in the equation

Answer 3

If you want to verify the results, yes.

Have you been thought how to solve simultaneous equations?

Answer 4

xD ??????????? what is that

Answer 5

Thx but i dont know what simultaneous equations are

Answer 6

http://www.allaboutcircuits.com/vol_5/chpt_4/11.html

Answer 7

thx i have more questions like this and your website should help thx again

Answer 8

Take the second equation and solve for s.
By inspection, s = 1225-2c
Replace s in the first equation with (1225-2c)
4 c + 4 (1225 - 2 c) = 3100
Can you solve the above equation for c?

Answer 9

wait what is this i thought we were done with this question

Answer 10

Well I was going to show how to solve this problem.

Thank you for the medal.