1.Birthday party On his birthday, Manoj planned that this time he celebrateshis 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:
(i) 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 are there in the orphanage?
(iv)How many adults working there in the orphanage?
(v) What values of Manoj depicted from the above situation.
Answers
Given : Manoj donated 2 apples to each children and 3 apples to each adult working there along with Birthday cake.
He distributed 60 total apples.
To Find : a linear equation in two variables
Draw the graph for this situation.
How many children are there in the orphanage
How many adults working there in the orphanage
What values of Manoj depicted from the above situation.
Solution:
x = number of children
y = number of adults
2x + 3y = 60
2x + 3y = 60
=> x = 3(20 - y) /2
Hence possible cases of children and adults
Adults y children
2 27
4 24
6 21
8 18
10 15
12 12
14 9
16 6
18 3
values of Manoj depicted from the above situation. that he helps needy people and very kind hearted
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