# SOLUTION: The ratio of students who ride the bus to the students who do not ride the bus is 7 to 3. If 490 students ride the bus, how many students do not ride the bus?

Algebra ->  Algebra  -> Percentage-and-ratio-word-problems -> SOLUTION: The ratio of students who ride the bus to the students who do not ride the bus is 7 to 3. If 490 students ride the bus, how many students do not ride the bus?      Log On

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 Question 342862: The ratio of students who ride the bus to the students who do not ride the bus is 7 to 3. If 490 students ride the bus, how many students do not ride the bus?Found 2 solutions by stanbon, MathTherapy:Answer by stanbon(57967)   (Show Source): You can put this solution on YOUR website!The ratio of students who ride the bus to the students who do not ride the bus is 7 to 3. If 490 students ride the bus, how many students do not ride the bus? -------------------- Note: 7 to 3 is the same as 7x to 3x where 7x is # who do not ride and bus and 3x is # who do ride the bus. --- Equation: 7x + 3x = 490 10x = 490 x = 49 ---- # who do not ride = 7x = 7*49 = 343 ===================== Cheers, Stan H. Answer by MathTherapy(1483)   (Show Source): You can put this solution on YOUR website!The ratio of students who ride the bus to the students who do not ride the bus is 7 to 3. If 490 students ride the bus, how many students do not ride the bus? Since the ratio of riders to non-riders is 7:3, then are riders and are non-riders Using N for non-riders, and since there are 490 riders, or of total riders, and we need to know what number represents non-riders, or of total riders, we can say that: Cross-multiplying, we get: Cross-multiplying again, we get: 7N = 1,470 N, or non-riders = or students. METHOD II We could have also done it the shortcut way by noticing that the riders' ratio of 7 was multiplied by 70 to get the total amount of riders, 490 (7 * 70). Therefore, we can also multiply the non-rider ratio of 3 by 70 to get (3 * 70), or simply put: