Question

37. On his birthday, Manoj planned that this time he spent 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.
Based on the above situation, answer the following questions:
(1) Write a linear equation in two variables for the above situation in standard form.
(ii) Draw the graph for this situation.
(iii) How many children and adults are there in the orphanage? graph of this sum
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Answer 1

Answer:

i) 2x+3y=60

ii) you can draw graph yourself by this equation.

iii) 2x+3y=60

2x+y= 20

X+y =10

:. there are total 10 adults and children..

hope it helps!!!!!

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Answer 2

Given:

2 apples to each children

3 apples to each adult

He distributed 60 apples

Solution:

(i) Write a linear equation in two variables for the above situation in standard form.

Let the number of children be x.

Let the number of adult be y.

2x + 3y = 60

(ii) Graph the equation

See attached

(iii) How many children and adults are there in the orphanage?

There are a lot of possible answer to this, presenting here are 2 possible solution.

If x = 3,

2(3) + 3y = 60

6 + 3y = 60

3y = 54

y = 18

One possible answer is 3 children and 18 adults

If x = 6,

2(6) + 3y = 60

3y = 48

y = 16

Another possible answer is 6 children and 16 adults