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

Answer:The cost of 1 drink   = $0.50The cost of 1 sandwich  = $4Step-by-step explanation:Let the cost of 1 drink = $xand The cost of 1 sandwich = $y⇒The The cost of 1 drink + 1 sandwich  =  $x + $ y   = $4.50 or,  $x + $ y = $4.50or, x + y = 4.50Also, The The cost of 1 drink + 5 sandwich  =  $x + ($ y)5    =  $16.50                                                                         or,  x + 5y   =  16.50⇒   x + 5y = 16.50Hence, the given system of equations is:x + y = 4.50x + 5y = 16.50Subtract (2) from (1), we getx + y - (x+ 5y) =  4.50 -  16.50or, -4y = -12or, y =  12/4  = 3Hence, the cost of 1 sandwich  = $4Now, x + y = 4.50 ⇒   x = 4.50 - y = 4.50 - 4  = 0.50 or, x  = 0.50Hence, the cost of 1 drink   = $0.50