Mathematics
america16az
2015-10-31 19:59:57
Can someone please help I need a clear explanation on how to solve this equation. At Avery Middle School, 273 students responded to a survey asking whether a Bulldog, a Lion, or a Tiger should be the new school mascot. Four times as many students chose Bulldog as chose Tiger. Twice as many students chose Lion as chose Tiger. How many students chose Lion?
ANSWERS
WhiteRabbit
2015-11-01 01:05:07

b = amount of students who chose Bulldog n = amount of students who chose lion t = amount of students who chose tiger so.. "t" chose tiger, ok "Four times as many students chose Bulldog as chose Tiger" namely, if "t" chose tiger, then 4 times that many chose Bulldog, thus b = 4t "Twice as many students chose Lion as chose Tiger" namely, if "t" students chose tiger, twice as many chose lion n = 2t now, we know a total of 273 students were surveyed, thus [latex]f egin{cases} b+n+t=273\ oxed{4t}+oxed{2t}+t=273 end{cases} \\\ 7t=273implies t=cfrac{273}{7}impliedby extit{that many chose underline{tiger}}[/latex]

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