Diane, Jane, and Martha have a business where they mow lawns and wash cars. Each works 8 hours a day. In one hour, Diane can either mow 2 lawn or wash 3 cars; Jane can either mow 2 lawn or wash 2 car; and Martha can either mow 3 lawns or wash 2 car. If they need to mow a total of 24 lawns per day then they can wash at most cars.

40 cars

If Martha mows 24 lawns then Jane and Diane can wash  40 cars.

Explanation:

Diane can either mow 2 lawn or wash 3 cars; Jane can either mow 2 lawn or wash 2 cars; and Martha can either mow 3 lawns or wash 2 cars in one hour.

In eight hours Diane can either mow 16 lawns or wash  24 cars

Jane can either mow 16 lawns or wash 16 cars in eight hours.

Martha can either mow 24 lawns or wash 16 cars in eight hours.

No of lawns required are 24 . If Martha mows 24 lawns then Jane and Diane can wash  40 cars.

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