SOLUTION: Can someone help me solve this? Type of Problem: Applications of Linear Systems Solve the problem by using a system of equations. Amy can buy 3 sandwiches and 4 iced teas for

Question 791153: Can someone help me solve this?
Type of Problem: Applications of Linear Systems
Solve the problem by using a system of equations.
Amy can buy 3 sandwiches and 4 iced teas for $22.25. She can buy 1 sandwich and 3 iced teas for $9.50. Find the cost for 1 sandwich and 1 iced tea.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
3x + 4y = 22.25
x + 3y = 9.50
solve second equation for x
x = 9.50 -3y
substitute in equation 1
3*(9.50-3y) +4y = 22.25
28.50 -9y +4y = 22.25
-5y = -6.25
y = 1.25
x = 9.50 -3*(1.25) = 5.75
therefore a sandwich costs $5.75 and iced tea costs $1.25

RELATED QUESTIONS
Can someone help me solve this? Type of Problem: Applications of Linear Systems Solve (answered by josgarithmetic)

Can someone help me solve this? Type of Problem: Solving Systems of Linear Inequalities (answered by solver91311)

Can someone help me solve this? Type of Problem: Applications of Linear Systems Solve (answered by rothauserc)

Can someone help me solve this? Type of Problem: Solving Systems of Linear Inequalities (answered by wilft1)

Can someone help me solve this? Type of Problem: Applications of Linear Systems Solve (answered by Cromlix)

Can someone help me solve this? Type of Problem: Solving Systems of Linear Equations By... (answered by rothauserc)

Hello again, Can someone please help me with this problem? For the following system... (answered by Edwin McCravy)

Solve Problem Using Linear Systems 13. One type of granola has 30% nuts, by mass. A... (answered by edjones)

can you please help me step by step through this problem ? Solve the systems of linear (answered by solver91311)