Fifteen students were surveyed to see whether they liked the color red or blue. There were three more students who preferred blue over red. Write and solve a system of equations to find how many students preferred blue and how many preferred red.

Question

Mathematics

Peter Durham

13 February, 11:13

Fifteen students were surveyed to see whether they liked the color red or blue. There were three more students who preferred blue over red. Write and solve a system of equations to find how many students preferred blue and how many preferred red.

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Answers (1)

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Tomas Kline · Answer 1

R=students who like color red

b=students who like color blue

r+b=15

b=r+3

then, replace the b in the first equation with the b in the second:

r + (r+3) = 15

2r=12

r=6

6 students like red

r+b=15

6+b=15

b=9

6 students like red

9 students like blue