five linear equations from your daily life situations
Answers
Linear equations
Question 1: My mother sent me to the market. From a shop, I bought 5 kg rice and 2 kg wheat. The cost of my purchase was Rs. 99. Formulate a linear equation that would determine the purchase.
- Hints: 5x + 2y = 99
Question 2: A candy seller was selling 4 red candies and 7 orange candies for Rs. 29, and 7 red candies and 4 orange candies for Rs. 36. Form a set of linear equations to determine the cost of red and orange candies.
- Hints: 4x + 7y = 29 ; 7x + 4y = 36
Question 3: The sum of the ages of Rupam and his younger sister is 22 years and the difference of their ages is 2 years. Find their ages.
- Hints: x + y = 22 ; x - y = 2
Question 4: In a classroom of 30 students, there are equal number of boys and girls. The average marks of the boys is 79 and that of the girls is 78. Find the total marks obtained by all the students.
- Hints: x = y = 15 ; 79x + 78y = ?
Question 5: Rakesh has 3 red marbles more than Ratul. If the number of their total marbles is 70. Find the number of marbles, they have.
- Hints: x = y + 3 ; x + y = 70
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