The phrase "a sensible solution to" is correct and usable in written English.
You can use it when discussing a practical or reasonable answer to a problem or challenge.
Example: "After much deliberation, we finally arrived at a sensible solution to the ongoing issue of waste management in our community."
Alternatives: "a practical answer to" or "a reasonable approach to".
This would be a sensible solution to tackle Africa's lack of specialists and infrastructure.
The government has never explained why this is not a sensible solution to this problem.
On first blush it seems like a sensible solution to a tricky problem.
Isner's is a sensible solution to a tricky problem, which needs to be resolved quickly.
The Workplace Religious Freedom Act provides a sensible solution to the potential conflict between an employee's religious conviction and the needs of pharmacy customers.
The wavelength-selective properties of optical thin films offer a sensible solution to the problems of effective wavelength-selective use of solar energy.
Instead, we propose our approach as a second, sensible solution to a problem that to date has only been addressed using only a single type of analysis.
The family history, and Christopher's grappling with the dissatisfactions of his life, are themes running in counterpoint to the primary subject of their discussion, namely just what Alexandra thinks she's doing, and whether she'll come to her senses and seek a more sensible solution to her embattled state.
This invention has potential to radically change the standard of care for nasal obstruction and provide a convenient, sensible solution to this widespread problem," he said.
A risky but sensible solution to an unhealthy addiction to online activity.
The judgment holds that discretionary housing payments (DHPs), allocated by local authorities on the basis of exceptional housing need, are an adequate and sensible solution to the hardship faced by disabled people and their families who, for example, need the extra bedroom, have adapted homes or for whom there is no suitable alternative accommodation available.
