273 students responded to a survey asking whether a bulldog, a lion, or tiger should be the new school mascot. 4 times as many students chose bulldog as tiger. Twice as many chose lion as tiger. How many chose lion.

The number of student that chose lion = 2a = 2 × 39 = 78

Step-by-step explanation:

The total student that took part in the survey was 273. Therefore,

Total number of student that took part in the survey = 273

number of student that chose the tiger to be the new school mascot = a

number of student that chose the bulldog to be the new school mascot = 4a

number of student that chose the Lion to be the new school mascot = 2a

Therefore,

a + 4a + 2a = 273

sum all the coefficient of a

7a = 273

divide both sides by 7

a = 273/7

a = 39

The number of student that chose lion = 2a = 2 × 39 = 78

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step-by-step explanation:

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arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: