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vampirchik [111]
3 years ago
7

A theatre sells two types of tickets to their plays; children’s tickets and adult tickets. For today’s performance they have sol

d a total of 1180tickets. Also, the have sold 80 more adult tickets than children’s tickets. How many adult tickets have they sold?
Mathematics
1 answer:
SashulF [63]3 years ago
6 0

Answer:

630

Step-by-step explanation:

Let the number of adult tickets be a.

Let the number of children tickets be c.

For that day's performance, they have sold a total of 1180 tickets. That means that:

a + c = 1180 _____________ (1)

Also, they have sold 80 more adult tickets than children’s tickets.

This means that:

a = c + 80 ______________(2)

Putting (2) in (1):

c + 80 + c = 1180

2c + 80 = 1180

Collecting like terms:

2c = 1180 - 80

2c = 1100

c = 1100 / 2 = 550

From (2):

a = 550 + 80

a = 630

They sold 630 adult tickets.

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Explanation:

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One method involves drawing a horizontal line to form three rectangles as show below. Note the labels A,B,C.

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