Respuesta :
Explanation:
A story that could fit in is;
Suppose the admission fee at a large fair is $1.50 for women and $4.00 for men. On a certain day, 2200 people enter the fair and $5050 is collected. How many women and how many men attended the large fair?
Using a system of equations we draft out variables;
number of men= m
number of women= w
Remember, from the question the total attended is:
total number: m + w = 2200 (equation 1)
total income: 4m + 1.5w = 5050 (equation 2)
Step 1
Solve the first equation for one of the variables, and then
Step 2
Substitute the result into (equation 2).
Step 1:
m = 2200 – w
4(2200 – w) + 1.5w = 5050
8800 – 4w + 1.5w = 5050
8800 – 2.5w = 5050
–2.5w = –3750
w = 1500
Step 2:
m = 2200 – (1500) = 700
Therefore,
attendance for men = 700
attendance for women = 1500
