Bmurphy17
contestada

Mr. Moon went to the store and bought 4 pounds of steak and 3 pounds of of bacon for a total of $36.43. His wife, not knowing he went shopping, went to the same store and bought 5 pounds of steak and 2 pounds of bacon for a total of $35.93. How much is a pound of steak? How much is a pound of bacon?

Please answer ASAP!

Respuesta :

steak,s bacon,b

4s + 3b = $36.43...eqn 1

5s + 2b = $35.93...eqn 2

multiply eqn 1 by 2...

8s + 6b = $72.86...eqn 3

multiply eqn 2 by 3

15s + 6b = $107.79...eqn 4

minus eqn 3 from eqn 4

7s = $34.93

s = $4.99

subst for s = $4.99 in eqn 1

$19.96 - 3b = $36.43

=》3b = $16.47

=》 b = $5.49

answer...

pound of bacon cost $5.49

pound of steak cost $4.99