All categories

3 years ago

Total 427 tickets sold 73 fewer student tickets than adult tickets how many adult tickets

Mathematics

1 answer:

viktelen [127]3 years ago

8 0

9514 1404 393

Answer:

250

Step-by-step explanation:

Let 'a' represent the number of adult tickets.

a +(a -73) = 427

2a = 500 . . . . . add 73

a = 250 . . . . . . divide by 2

250 adult tickets were sold.

_____

Additional comment

I call this a "sum and difference problem" because we are given the total of two values and the difference between them. As you can see here, the larger of the two values is the average of the given numbers, their sum divided by 2. This is the generic solution to such a problem: the larger number is the average of the given sum and difference.

You might be interested in

If you pour 3 gallons of paint into 8 cans how much will be in each can

bezimeni [28]

Answer:

pours 3 gallons of paint equally into 5 cans. How many gallons of paint will there be in each can? ... Did you divide to get the answer? ... If two gallons of paint is needed to paint a 40 sq meter wall, how many gallons of paint ... Hamza bought 8 gallons of brown paint to paint his kitchen and dining room

4 0

2 years ago

Read 2 more answers

There are 12 coins ; dimes and quarters. The number of dimes is 2 more than the number of quarters.

galben [10]

Answer:

D. $1.95

F. $3

Step-by-step explanation:

dimes: x + 2

quarters: x

x + 2 + x = 12

2x + 2 = 12

2x = 10

x = 5

dimes: x + 2 = 5 + 2 = 7

quarters: x = 5

Total value: (7 * .10) + (5 * .25) = $1.95

_____

dimes: x

quarters: 2x

x + 2x = 15

3x = 15

x = 5

dimes: x = 5

quarters: 2x = 2(5) = 10

Total value: (5 * .10) + (10 * .25) = $3

5 0

2 years ago

Given three points A(-7, 1), B(m, 6) and P(-1, n). If the point P divides AB internally in the ratio of 3: 2, find the values of

vesna_86 [32]

Answer:

m = 3 , n = 4

Step-by-step explanation:

Using Section Formula.

$If \ the \ line \ segment \ AB \ where \ A = (x _1, y_1) \ and \ B = (x_2, y_2) \ divided \ by \ P =(x , y) \ in \ the \ ratio \ a : b,\\\\Then \ the \ points \ of \ P \ \\\\x = \frac{ax_2 + bx_1}{a+b} \ and \ y = \frac{ay_2 + by_1}{a+b}$

$Here (x_1 , y_ 1 ) = ( -7 , 1 ) \ and \ (x_ 2 , y _ 2 ) = (m , 6)\\\\ratio\ a:b = 3 : 2\\\\Therefore, P (x, y) \\\\x = \frac{3m + (2\times -7)}{5} \ \ \ \ \ \ \ \ \ \ \ [ \ x = -1 \ ] \\\\-1 = \frac{3m - 14}{5}\\\\- 5 = 3m - 14\\\\-5 + 14 = 3m\\\\9 = 3m \\\\m = 3$