Question

Willie and asanji each improved their yards by planting daylilies and shrubs. they bought their supplies from the same store. willie spent $176 on 14 daylilies and 6 shrubs. asanji spent $82 on 1 daylily and 12 shrubs. what is the cost of one daylily and the cost of one shrub?

Answer 1

To find the cost of one daylily and one shrub, we set up a system of linear equations using the given spending information and solve for the variables representing the cost of each item.

Step-by-step explanation:

The question involves a system of linear equations to determine the cost of one daylily and one shrub. By setting up the equations based on the given information, Willie's and Asanji's spending, we can solve for the individual prices. Let x be the cost of one daylily and y be the cost of one shrub. Using the given data, we can create the equations 14x + 6y = 176 and x + 12y = 82. We can then use either substitution or elimination methods to find the values of x and y.

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

From Willie's purchase, we can write the equation 14x + 6y = 176. From Asanji's purchase, we can write the equation x + 12y = 82.

Solving this system of equations, we find that the cost of one daylily is $8 and the cost of one shrub is $12.