The number of adults = 51
The number of children = 81
Step-by-step explanation:
Step 1 :
Let,
The number of adults be x.
The number of children be y.
The total number of people attended = 131
Step 2 :
The equation can be written as x + y = 131 ----------(1)
Step 3 :
tickets for adults cost = $3.75
tickets for children cost = $3
total receipts for the concert was = $431.25
Step 4 :
The equation can be written as 3.75x + 3y = 431.25 -----------(2)
Step 5 :
Multiply eq (1) by 3 and subtract eq(2) from (1)
3x + 3y = 393
-3.75x - 3y = -431.25
-0.75x = -38.25
x = -38.25 / -0.75
x = 51
∴ The number of adults = 51
Step 6 :
Substitute x=51 in eq(1),
51 + y = 131
y = 131 - 51
y = 80
∴ The number of children = 81
