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Rudiy27
1 year ago
11

tickets for a cinema costs £4 and £5. There were 223 customers who paid a total of £936. How many bought £4 tickets

Mathematics
1 answer:
noname [10]1 year ago
3 0

The number of people who bought £4 tickets are 139.

<h3>How to illustrate the equation?</h3>

Let £4 tickets be x

Let £5 tickets be y.

Therefore based on the information given, this will be:

x + y = 223 ..... i

4x + 5y = 936 ..... ii

From equation i

x = 213 - y

Put this into equation ii

4x + 5y = 936

4(213 - y) + 5y = 936

852 - 4y + 5y = 936

Collect like terms

y = 84

This implies that the number of £5 tickets is 84.

Recall that x + y = 223

x + 84 = 223

x = 223 - 84

x = 139

The number of £4 tickets is 139

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

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choli [55]
Let x = no. of 10 oz cups sold
Let y = no. of 14 oz cups sold
Let z = no. of 20 oz cups sold
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Equation 1: total number of cups sold:
x + y + z = 24
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Equation 2: amt of coffee consumed:
10x + 14y + 20z = 384
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Equation 3: total revenue from cups sold
.95x + 1.15y + 1.50z = 30.60
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Mult the 1st equation by 20 and subtract the 2nd equation from it:
20x + 20y + 20z = 480
10x + 14y + 20z = 384
------------------------ subtracting eliminates z
10x + 6y = 96; (eq 4)

Mult the 1st equation by 1.5 and subtract the 3rd equation from it:
1.5x + 1.5y + 1.5z = 36.00
.95x + 1.15y+ 1.5z = 30.60
---------------------------subtracting eliminates z again
.55x + .35y = 5.40; (eq 5)

Multiply eq 4 by .055 and subtract from eq 5:
.55x + .35y = 5.40
.55x + .33y = 5.28
--------------------eliminates x
0x + .02y = .12
y = .12/.02
y = 6 ea 14 oz cups sold 

Substitute 6 for y for in eq 4
10x + 6(6) = 96
10x = 96 - 36
x = 60/10
x = 6 ea 10 oz cups

That would leave 12 ea 20 oz cups (24 - 6 - 6 = 12)

Check our solutions in eq 2:
10(6) + 14(6) + 20(12) =
60 + 84 + 240 = 384 oz

A lot steps, hope it made some sense! I hope this helps!! ;D

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BRAINLIEST FOR CORRECT ANSWER
user100 [1]
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