Tokyo and New York are among the most expensive cities worldwide for business travelers. using average costs per day for each city, 2 days in tokyo and 3 days in new york cost $2015. 4 days in tokyo and 2 days in new york cost $2490. What is the average cost per day for each city?
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Verified answer
2t + 3n = 2015
4t + 2n = 2490
Multiply the first equation by negative two and add together:
-4t + 4t + -6n + 2n = -1540
-4n = -1540
n = 385
Plug back in and solve for t:
2t + 3(385) = 2015
2t = 860
t = 430
$385 to stay in NYC and $430 to stay in Tokyo.
Solve as a system of equations.
2x+3y=2015
4x+2y=2490
Solve however you like. I'm going to cheat and use an online resource.
x=430, y=385.
Tokyo is $430, New York is $385.
Hope this helped.
that's common adequate. You basically in simple terms would desire to calculate the gap travelled. all of us understand 2 issues appropriate to the holiday - it took 3.7 hours, and eight.5 gallons have been used. We in simple terms would desire to accomplish a little simultaneous equations to artwork out how some distance we drove on the city, and how some distance on the line. First, we take the inverse of the miles according to gallon figures to get gallons according to mile. We do a similar for velocity. Then we've that if x is the gap in cities, and y the gap on the line, then: x/18 + y/26 = 8.5 x/30 + y/sixty 5 = 3.7 it truly is in basic terms an straightforward pair of linear simultaneous equations. you should be waiting to sparkling up for x and y, and from there the answer is extremely common.
2T + 3N = 2015
4T + 2N = 2490
4N = 1540
N = 385
T = 430