Exhibits, Shows and Displays

Please help me with this one. I dont understand it. Please give a detailed explaination. Thanks?

White River Gardens in Indianapolis, Indiana, presents a yearly butterfly exhibit. Pupae from Kenya, Tanzania, Costa Rica, and Florida are delivered semiweekly. They are stored on rods in a glass case inside a greenhouse until the metamorphosis takes place. As part of a recent order, White River Gardens received 63 pupae morpho granadensis 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?

Public Comments

1. Let x = number of morpho granadensis Let y = number of battus polydamus So the total number of pupae is: x + y = 63 And the total cost is: 4.15x + 1.50y = 147.5 Solving the first equation for x: x = 63 - y And substiting into the 2nd equation: 4.15(63 - y) + 1.50y = 147.5 Solving for y, we get: y = 43 battus polydamus pupae and x is x = 63 - 43 = 20 morpho granadensis pupae.