At a restaurant, two salads, two sandwiches, and one drink cost $23. Three salads, one sandwich, and three drinks cost $24.50. A salad costs twice as much as a drink. How much does each item cost?

Salad cost = $4

Sandwiches cost= $6.5

Drinks cist= $2

Step-by-step explanation:

Let salad = x

Sandwiches= y

Drinks= z

2x+2y+z= 23 equation one

3x+y+3z= 24.5 equation two

X= 2z equation three

Substituting equation three into equation one and two

2(2z) +2y +z= 23

3(2z)+y +3z= 24.5

2y +5z= 23 equation 4

y + 9z= 24.5...equation 5

Multiplying equation 5 with 2

2y +5z= 23

2y + 18z= 49

Solving simultaneously

13z= 26

Z= 26/13

Z= 2

2y +5z= 23

2y +5(2)= 23

2y= 23-10

2y= 13

Y= 6.5

X= 2z

X=2(2)

X= 4

Salad cost = $4

Sandwiches cost= $6.5

Drinks cist= $2

5

step-by-step explanation: