Helena uses a mixture of compost and topsoil in her garden. She purchased a total of 10 cubic yards of compost and topsoil for $

Question

2 months ago

10

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?

Mathematics

2 answers:

Inessa [12.5K] · Answer 1 · 2026-03-20T20:10:28+03:00

The quantity of compost purchased is represented as ' C ' cubic yards.
Each cubic yard of compost is priced at $25.
Therefore, the total cost spent on compost is 25C.

The amount of topsoil acquired is ' T ' cubic yards.
The cost for each cubic yard of topsoil is $15.
Hence, the total amount spent on topsoil is 15T.

In total, the volume collected is defined by C + T = 10 cubic yards
The cost for the combined load stands at: 25C + 15T = $180

This forms the system of equations to be resolved:

C + T = 10
25C + 15T = 180.
Can you solve that?
Here’s some assistance.
If you multiply the first equation by 25 and rewrite the second below it:
25C + 25T = 250
25C + 15T = 180.
By subtracting the second from the first:[TAG_22]] 10T = 70
After dividing both sides by 10:
T = 7 cubic yards
.
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