SOLUTION: "Systems of Inequalities, Substitution and/or Elimination Method" White River Gardens in Indianapolis, IN, presents a yearly butterfly exhibit. Pupae from Kenya, Tanzania, Costa R

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Question 163827: "Systems of Inequalities, Substitution and/or Elimination Method"
White River Gardens in Indianapolis, IN, presents a yearly butterfly exhibit. Pupae from Kenya, Tanzania, Costa Rica, and Florida are delivered semi-weekly. They are stored on rods in a glass case inside a green house until the metamorphosis takes place. As part of a recent order, White River Gardens received 63 pupae - morpho grandensis at $4.15 per pupa and battus polydamus at $1.50 per pupa. The total cost of the two species was $147.50. How many pupae of each species did the exhibit receive?

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Take note:
MP%2BBP=63 --------------------------------------> EQN 1 (total pupae)
In EQN 1 we get,
MP=63-BP --------------------------------------> EQN 2
Also total cost,
4.15MP%2B1.50BP=147.50 --------------------------> EQN 3
Subst. EQN 2 in EQN 3:
4.15%2863-BP%29%2B1.50BP=147.50
261.45-4.15BP%2B1.50BP=147.50
261.45-147.50=4.15BP-1.50BP
113.95=2.65BP ---> cross%28113.95%2943%2Fcross%282.65%29=cross%282.65%29BP%2Fcross%282.65%29
BP=43, total Battus Polydamus
Via EQN 2:
MP=63-43=20, total Morpho Grandensis
In doubt? Go back EQN 3:
4.15%2820%29%2B1.50%2843%29=147.50
83%2B64.50=147.50
147.50=147.50
Thank you,
Jojo