Question

2) Mike and Ndiba each improved their yards by planting daylilies and geraniums. They bought their supplies from the same store. Mike spent $32 on 2 daylilies and 3 geraniums. Ndiba spent $58 on 4 daylilies and 5 geraniums. Find the cost of one daylily and the cost of one geranium. ​

Answer 1

so, one daylily costs $7 and one geranium costs $6

Explanation:

let the daylilies be x, and let the geraniums be y

2x + 3y = 32

4x + 5y = 58

2x = 32 - 3y

x = 32 - 3y/2

4 (32 - 3y/2) + 5y = 58

2 (32 - 3y) + 5y = 58

64 - 6y + 5y = 58

64 - y = 58

-y = -6, y is 6

x = 32 - 18/2

x = 14/2

x = 7