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valentina_108 [34]
3 years ago
6

The owner of a movie theater is counting the receipts from one day of ticket sales. He knows that 250 tickets were sold. Adult t

ickets are $10 each and children’s tickets are $8 each. If the total collected for the day was $2276, how many of each type of ticket were sold? a. Write the system of equations to represent this situation. b. Solve the system using elimination. c. How many of each type of ticket were sold?
Mathematics
1 answer:
irinina [24]3 years ago
8 0

Step-by-step explanation:

x + y = 250 -eq.1

10x + 8y = 2276 -eq.2

eq.1 × 8

8x + 8y = 2000 -eq.3

eq.2 - eq.3

10x + 8y = 2276

( - ) 8x + 8y = 2000

2x = 276

x = 138

sub x = 138 into eq.1

138 + y = 250

y = 250 - 138

y = 112

x = 138, y = 112

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Susie bought 434 pounds of cherries at the store. She ate 58 of a pound on the way home. How many pounds of cherries does Susie
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6 0
3 years ago
X+3y-2z=1 2x-y+2z=1 -x-4y+6z=2
melomori [17]
X + 3y - 2z = 1
-x - 4y + 6z = 2
-------------------add
-y + 4z = 3

x + 3y - 2z = 1....multiply by -2
2x - y + 2z = 1
------------------
-2x - 6y + 4z = -2 (result of multiplying by -2)
2x - y + 2z = 1
-----------------add
-7y + 6z = -1

-y + 4z = 3 .....multiply by -7
-7y + 6z = -1
-----------------
7y - 28z = -21 (result of multiplying by -7)
-7y + 6z = -1
-----------------add
- 22z = -22
z = -22/-22
z = 1 <===

-y + 4z = 3
-y + 4(1) = 3
-y + 4 = 3
-y = 3 - 4
-y = -1
y = 1 <===

x + 3y - 2z = 1
x + 3(1) - 2(1) = 1
x + 3 - 2 = 1
x + 1 = 1
x = 1 - 1
x = 0 <==

so x = 0, y = 1, and z = 1



4 0
3 years ago
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