Sara nick and robin were collecting cans for a recycling project. sara collected 5 times as many cans as robin. nick collected 6 times as many cans as robin. the 3 children collected a total 216 cans. how many cans did they each collect?

Question

Mathematics

Dominik Richmond

25 May, 00:54

Sara nick and robin were collecting cans for a recycling project. sara collected 5 times as many cans as robin. nick collected 6 times as many cans as robin. the 3 children collected a total 216 cans. how many cans did they each collect?

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Answers (1)

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Luis Cuevas · Answer 1

R = robins cans

s = sara's cans

n = nick's cans

T = total cans

s = 5r

n = 6r

T = 216 = s + r + n

we sub in the first two equations into the first

216 = 5r + 6r + r

216 = 12r

r = 18

sub this back into equations 1 and 2

thus

r = 18

s = 90

n = 108