How do you create linear equations to solve word problems?

1 Answer
Jan 8, 2015

Lets take up a example

The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended?

number of adults: a
number of children: c

total number: #a + c = 2200 #
total income: #4a + 1.5c = 5050#

here we are doing the basic declaration

#a = 2200 – c#

#4(2200 – c) + 1.5c = 5050 #

here we framing the equation to solve

#8800 – 4c + 1.5c = 5050 #

#8800 – 2.5c = 5050 #

#–2.5c = –3750 #

#c = 1500#
finally we are numbers to get the final answer
#a = 2200 – (1500) = 700#

There were 1500 children and 700 adults.