The manager of a movie theater found that saturdays sales were $3675. he knew that a total of 650 tickets were sold on saturday. adult tickets cost $7.50, and children tickets cost $4.50. how many of each kind of ticket were sold?

Answer

250 adult tickets were sold and 400 children tickets were sold

Step by Step Explanation:

Given

Saturday Sales: $3675

Total tickets: 650

Cost of adult tickets = $7.50

Cost of children tickets = $4.50

Let A represent the adult tickets and C represent the children tickets,

if there's a total of 650 tickets, then

A + C = 650

Also,

if an adult ticket cost $7.50 and a child ticket cost $4.50 then

7.5A + 4.5C = 3675

From these, we have a simultaneous equation

A + C = 650 ------- (1)

7.5A + 4.5C = 3675 ----------(2)

Make A the subject of formula in (1)

A + C = 650  becomes

A = 650 - C

Substitute 650 - C for A in (2), we have

7.5(650 - C) + 4.5C = 3675

Open the bracket

4875 - 7.5C + 4.5C = 3675

4875 - 3C = 3675

Collect like terms

-3C = 3675 - 4875

-3C = -1200

Divide through by -3

C = 400

Recall that

A = 650 - C

So, A = 650 - 400

A = 250

Hence, 250 adult tickets were sold and 400 children tickets were sold

wholesale price is the initial price before markup. retail price comes after the markup.

a price of 8 bucks that's marked up by 100%   is

formula: initial price + (percent markup in fraction/decimal)(initial price)

8+(1)(8)

8+8

16

retail price is $16.

answer: yard ramps with a level off platform are typically 36 feet long. truck, rather than at an angle, enabling access to those pallets at the very back of the truck. if you are using your yard ramp to convert a loading dock into a drive-in door, we even at 60 inches (5 feet) high and a 30 foot ramp, the slope of the ramp will be less

step-by-step explanation: