Question
A tables with no data, showing Number of Cubic Yards, Cost per Cubic Yard, and Total. The first row is Compost. The second row is Topsoil. The third row is Total.
Helena uses a mixture of compost and topsoil in her garden. She purchased a total of 10 cubic yards of compost and topsoil for $180. If compost costs $25 per cubic yard and topsoil costs $15 per cubic yard, how many cubic yards of topsoil did she purchase?
3
4.5
5.5
7
Helena uses a mixture of compost and topsoil in her garden. She purchased a total of 10 cubic yards of compost and topsoil for $180. If compost costs $25 per cubic yard and topsoil costs $15 per cubic yard, how many cubic yards of topsoil did she purchase?
3
4.5
5.5
7
Answers
GPT 3.5
Number of Cubic Yards | Cost per Cubic Yard | Total
Compost
Topsoil
Total
Let x be the number of cubic yards of compost purchased and y be the number of cubic yards of topsoil purchased.
From the problem, we have the two equations:
x + y = 10
25x + 15y = 180
Solving the system of equations, we get:
x = 7
y = 3
Therefore, Helena purchased 3 cubic yards of topsoil.
Compost
Topsoil
Total
Let x be the number of cubic yards of compost purchased and y be the number of cubic yards of topsoil purchased.
From the problem, we have the two equations:
x + y = 10
25x + 15y = 180
Solving the system of equations, we get:
x = 7
y = 3
Therefore, Helena purchased 3 cubic yards of topsoil.