Problema Solution
Write a system of two equations in two variables to solve the problem.
In 2009, two tickets to a certain American band's concert and two tickets to a certain British band's concert cost, on average, a total of $600. At those prices, four tickets to see this American band and two tickets to see this British band cost $850. What was the average cost of these American and British band tickets in 2009?
Answer provided by our tutors
let 'a' represent the cost of a ticket to see the American band
let 'b' represent the cost of a ticket to see the British band
600 = 2a + 2b
850 = 4a + 2b
subtracting equation 1 from equation 2, we have:
850-600 = 4a-2a + 2b-2b
250 = 2a
a = 125
now we solve equation 2 for 'b':
850 = 4*125 + 2b
350 = 2b
b = 175
a ticket to the British band cost an average of $175
a ticket to the American band cost an average of $125