Some students planned a picnic. The budget for food was Rs. 480. But eight of these failed to go and thus the cost of food for each member increased by Rs. 10. How many students attended the picnic ?

In a class of 60 students, each boy contributed rupees equal to the number of girls and each girl contributed rupees equal to the number of boys. If the total money then collected was Rs. 1600. How many boys were there in the class?

One kg of food X contains 6 units of Vitamin A and 7 units of Vitamin B. One kg of food Y contains 8 units of Vitamin A and 12 units of Vitamin B. Cost of each kg of food X and food Y are Rs. 12 and Rs. 20 respectively. The daily minimum requirement of Vitamin A and Vitamin B are 100 units and 120 units respectively. How much food X and food Y are to be mixed so that the cost will be minimum? Formulate the problem as a linear programming problem.

A man has Rs 1500 to purchase rice and wheat. A bag of rice and a bag of wheat cost Rs 180 and Rs 120 respectively he has a storage capacity of 10 bags only . he earns a profit of Rs 11 and Rs 8 per bag of rice and wheat respectively. how many bags of each must he buy to makes maximum profit