Johnny bought 3 rose bushes and 7 flats of petunias for a total of $114.75. Rosie bought 2 rose bushes and 6 flats of petunias for a total of $89.50. How much does a flat of petunias cost?

Answer 1

3R + 7P= 117.75

2R + 6P = 89.50

multiply 1st by 2 and 2nd by 3 to eliminate one variable by subtraction

6R + 18P= 268.50

6R + 14P= 235.50 subtract

4P = 33.00

P = 33/4 = $8.25 per petunia flat

2R = 89.5 - 6(.25)

R =44.75 - 3(8.25) =44.75-24.75 =$20 per rose bush