Casey is making a flower arrangement with roses(r) and carnations(c). The cost of each rose is $0.50 and the cost of each carnation is $0.10. The arrangement ha
Mathematics
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Question
Casey is making a flower arrangement with roses(r) and carnations(c). The cost of each rose is $0.50 and the cost of each carnation is $0.10. The arrangement has a total of 80 flowers and the flower cost was $20. How many of each flower did Casey put in her arrangement?
1 Answer

1. User Answers wolffiegirl
r + c = 80  there is a total of 80 flowers consisting of roses and carnations .50r + .10c = 20  50 cent roses + 10 cent carnations = 20 bucks now we can rearrange equation 1 to single out a variable.. r + c = 80 r = 80  c now we can sub 80  c in for r in the 2nd equation .50r + .10c = 20 .50(80  c) + .10c = 20  distribute through the parenthesis 40  .50c + .10c = 20  subtract 40 from both sides .50c + .10c = 20  40  combine like terms .40c = 20  divide both sides by .40 c = 20/.40 c = 50 now sub 50 in for c in the 1st equation r + c = 80 r + 50 = 80 r = 80  50 r = 30 check.. .50r + .10c = 20 .50(30) + .10(50) = 20 15 + 5 = 20 20 = 20 (correct) so the roses (r) = 30 and the carnations (c) = 50