Linear Equation...

Mahesh visited his cousin Akash during the summer vacation. In the mornings, they both would go for swimming. In the evenings, they would play tennis. They would engage in at most one activity per day, i.e. either they went swimming or played tennis each day. There were days when they took rest and stayed home all day long. There were 32 mornings when they did nothing, 18 evenings when they stayed at home, and a total of 28 days when they swam or played tennis. What duration of the summer vacation did Mahesh stay with Akash?

In a factory, each day the expected number of accidents is related to the number of overtime hours by a linear equation. Suppose that on one day there were 1000 overtime hours logged and 8 accidents reported and on another day there were 400 overtime hours logged and 5 accidents. What is the expected number of accidents when no overtime hours are logged?

What is the least possible value of b/a, if it is given that |2a - 9| = 7 and |b - 4| = 5 ?

Moli buys 3 ribbons,7 clips and 1 soap for Rs.120 exactly. At the same place it would cost Rs.164 for 4 ribbons, 10 clips and one soap. How much would it cost for one ribbon, one clip and one soap?

In a pet shop, there are 120 eyes and 172 legs. How many birds and puppies are included in these?

The price of 10 mango is equal to that of 4 apples. The price of 15 mango and 2 apples together is Rs. 4000. The total price of 12 mango and 3 apples is:

Find (7x + 4y ) / (x - 2y) if x / 2y = 3/2?

Total Rs.700 are divided among 3 persons (A, B, and C). A gets 1/2 of B and B gets 1/2 of C. How much money does C has?

Value of ‘x’ in 6x - 4 = 3x + 8 should be:

If the list price of a book is reduced by Rs 5 then a person can buy 2 more books for Rs 300. What is the original cost of the book?