A concession stand sells hamburgers (h) for $2 and hotdogs (d) for $1. On Friday night they sold a total of 300 hamburgers and hotdogs and made $420. How many of each did they sell?

Answer:120 hamburgers 180 hotdogs

There are 120 hamburgers

There are 180 hotdogs

Step-by-step explanation:

∵ The cost of h = $2 and the cost of d = $1

∵ h + d = 300 ⇒ (1)

∵ 2h + d = 420 ⇒ (2)

Solve (1) and (2)

Subtract (1) from (2)

∴ (2h + d) - (h + d) = 420 - 300

∴ h = 120

∵ 120 + d = 300

∴ d = 300 - 120 = 180