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Nana76 [90]
3 years ago
7

At the theater, tickets for adults cost $4.75

Mathematics
1 answer:
shutvik [7]3 years ago
7 0
X+y= 26 and 4.75x + 2.25y= 83.50

y=26-x( substitute this into second equation for y and solve for x)

4.75x + 2.25(26-x)= 83.50

4.75x + 58.5-2.25x= 83.50

x= 10

Now solve for y by substituting your answer for x

10+ y= 26

y=16

Therefore, 16 tickets were purchased for kids and 10 for adults.

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4 kg of bananas and 3 kg of apples cost £7.50. 3kg of bananas and 5 kg of apples cost £8.10. work out how much 2kg of bananas an
Tanzania [10]

Answer:

<u>£4.20</u>

Step-by-step explanation:

Let :

  • cost of 1 kg banana = x
  • cost of 1 kg apple = y

Equations formed :

  • 4x + 3y = 7.50 [Equation 1]
  • 3x + 5y = 8.10 [Equation 2]

Multiply Equation 1 by 5 and Equation 2 by 3 :

  • 20x + 15y = 37.50
  • 9x + 15y = 24.30

Subtract the newly formed equations :

  • 11x = 13.20
  • <u>x = 1.20</u>

Finding y :

  • 4(1.20) + 3y = 7.50
  • 4.80 + 3y = 7.50
  • 3y = 2.70
  • <u>y = 0.90</u>

Then :

  • Cost of 1 kg banana = £1.20
  • Cost of 1 kg apple = £0.90

Cost of 2 kg bananas and 2 kg of apples :

  • 2(1.20) + 2(0.90)
  • 2(2.10)
  • <u>£4.20</u>
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