Question

Shanice and Stefan each improved their yards by planting daylilies and ornamental grass. They bought their supplies from the same store. Shanice spent $93 on 9 daylilies and 6 bunches of ornamental grass. Stefan spent $147 on 5 daylilies and 12 bunches of ornamental grass. What is the cost of one daylily and the cost of one bunch of ornamental grass?

A. Cost of one daylily: $7, Cost of one bunch of ornamental grass: $9
B. Cost of one daylily: $9, Cost of one bunch of ornamental grass: $7
C. Cost of one daylily: $12, Cost of one bunch of ornamental grass: $5
D. Cost of one daylily: $5, Cost of one bunch of ornamental grass: $12

Answer 1

To find the cost of one daylily and one bunch of ornamental grass, we need to set up a system of equations based on the given information. Solving the system of equations yields that the cost of one daylily is $9 and the cost of one bunch of ornamental grass is $7.

Step-by-step explanation:

To find the cost of one daylily and one bunch of ornamental grass, we need to set up a system of equations based on the given information. Let x be the cost of one daylily and y be the cost of one bunch of ornamental grass.

From Shanice's purchase, we can write the equation: 9x + 6y = 93.

From Stefan's purchase, we can write the equation: 5x + 12y = 147.

Solving this system of equations, the cost of one daylily is $9 and the cost of one bunch of ornamental grass is $7.