You purchase a drink and a sandwich for $4.50. Your friend purchases a drink and five sandwiches for 16.50. You want to determine the price of a drink and the price of a sandwich

The cost of 1 drink = $0.50

The cost of 1 sandwich = $4

Step-by-step explanation:

Let the cost of 1 drink = $x

and The cost of 1 sandwich = $y

⇒The The cost of 1 drink + 1 sandwich = $x + $ y = $4.50

or, $x + $ y = $4.50

or, x + y = 4.50

Also, The The cost of 1 drink + 5 sandwich = $x + ($ y) 5 = $16.50

or, x + 5y = 16.50

⇒ x + 5y = 16.50

Hence, the given system of equations is:

x + y = 4.50

x + 5y = 16.50

Subtract (2) from (1), we get

x + y - (x + 5y) = 4.50 - 16.50

or, - 4y = - 12

or, y = 12/4 = 3

Hence, the cost of 1 sandwich = $4

Now, x + y = 4.50

⇒ x = 4.50 - y = 4.50 - 4 = 0.50

or, x = 0.50

Hence, the cost of 1 drink = $0.50