there are few families residing in a locality. For a festival some families donated Rs 100 each and the other families donated Rs 50 each. The total money collected was Rs 44,450 .Express this in the form of equation in two variables . Using this equation, find the no. of families who donated Rs 100 each if the no. of families donating Rs 50 is 111
Answers
According To given statement
100x + 50 * 111 = 44450
100x = 44450 - 5550
100x = 38900
x = 389
389 families Donated Rs 100
The number of families donating Rs. 100 is 389.
Given:
For a festival, some families donated Rs 100 each, and other families donated Rs 50 each. The total money collected was Rs 44,450.
To find:
Express this in the form of an equation with two variables.
Using this equation, find the no. of families who donated Rs 100 each if the no. of families donating Rs 50 is 111
Solution:
Let 'x' be the number of families that donated Rs. 100
Total amount donated by 'x' number of families = 100x
Let 'y' be the number of families that donated Rs. 50
Total amount donated by 'y' number of families = 50y
Hence, Total amount donated = 100x + 50y
From the data, the total amount donated = Rs 44,450
=> 100x + 50y = 44450
=> 2x + y = 889
Therefore,
The required equation is 2x + y = 889
Given that, the no. of families donating Rs 50 is 111
=> 2x + 111 = 889
=> 2x = 778
=> x = 389
Hence,
The number of families donating Rs. 100 is 389.
Learn more at
https://brainly.in/question/6020600
#SPJ3