Question

If the number of children is 15, then find the number of adults –​

Answer 1

SOLUTION

COMPLETE QUESTION

On his birthday, Manoj planned that this time he celebrates his birthday in a small orphanage centre. He bought apples to give to children and Adults working there. Manoj donated 2 apples to each children and 3 apples to each adult working there along with Birthday cake. He distributed 60 total apples.

(a) How to represent the above situation in linear equations in two variables by taking the number of children as ‘x’ and the number of adults as ‘y’?

(i) 2x + y = 60

(ii) 3x + 2y = 60

(iii) 2x + 3y = 60

(iv) 3x + y = 60

(b) If the number of children is 15, then find the number of adults?

(i) 10

(ii) 25

(iii) 15

(iv) 20

EVALUATION

(a) Let the number of children = x

The number of adults = y

Now it is given that Manoj donated 2 apples to each children and 3 apples to each adult

Total number of apples distributed

= 3x + 2y

Again Manoj distributed 60 total apples.

Hence the linear equation in two variable for the given situation is 2x + 3y = 60.

Hence the correct option is (iii) 2x + 3y = 60

(b) Now it is given that the number of children is 15

So x = 15

Let the number of adults = y

2x + 3y = 60

⇒ 2 × 15 + 3y = 60

⇒ 30 + 3y = 60

⇒ 3y = 60 – 30 = 30

⇒ 3y = 30

⇒ y = 10

So the number of adults = 10

Hence the correct option is (i) 10

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Answer 2

Answer:

. If the number of children is 15, what is the number of adults?