MATH SOLVE

4 months ago

Q:
# 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

Accepted Solution

A:

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