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 a+c=2200
total income: 4a + 1.5c = 50504a+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.