SOLUTION: Mel and Ann were having breakfast at a restaurant. Mel paid $3.50 for 3 eggs and 1 sausage patty. Ann paid $5.25 for 2 eggs and 3 sausage patties. Find the cost of each egg and eac

Question 211724: Mel and Ann were having breakfast at a restaurant. Mel paid $3.50 for 3 eggs and 1 sausage patty. Ann paid $5.25 for 2 eggs and 3 sausage patties. Find the cost of each egg and each sausage patty.
Found 2 solutions by rfer, Krystal77:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
3e+1s=3.50, s=3.50-3e
2e+3s=5.25
2e+3(3.50-3e)=5.25
2e+10.50-9e=5.25
-7e=-5.25
e=.75
--------------------
3(.75)+s=3.50
2.25+s=3.50
s=1.25
---------------------
proof
2(.75)+3(1.25)=5.25
Answer by Krystal77(1) (Show Source): You can put this solution on YOUR website!
Eggs: E
Sasage: S
3.50=3e+s s=3.50-3e
5.25=2e+3s
Substitution:
5.25=2e+3(3.50-3e)
5.25=2e+10.5-9e
0= 5.25-7e
7e=5.25
e= .75
One egg is $0.75

s=3.50-3(.75)
s=3.50-2.25
s= $1.25
One Sasage: 1.25
One Egg: .75
RELATED QUESTIONS
Restaurant offers a series of two-egg breakfast specials. The prices are as follows: #1 (answered by Glaviolette)
One person orders 2 eggs and 1 sausage patty and is charged $3.83 before tax, and the... (answered by Fombitz)
#1 The deli charges $3.80 for a breakfast of 3 eggs & 4 bacon strips. The charge is $2.75 (answered by mananth)
Evaluate the following: 1. rose bought 9 pens and 7 pencils and paid a total of... (answered by josgarithmetic,ikleyn)
Evaluate the following: 1. rose bought 9 pens and 7 pencils and paid a total of... (answered by josgarithmetic,ikleyn)
Team 1 20 Bean and Cheese Taco Team 2 20 Potatoe and Egg Taco Team 3 20... (answered by ikleyn)
A restaurant offers the following choices for breakfast: Eggs: scrambled, fried or... (answered by stanbon)
Mel paid $84.00 including 12% tax, for a camera. How much was the camera cost before... (answered by rfer)
Ann babysat for 6 hours and was paid $30. What is her pay per hour? (answered by ikleyn)