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charismameeks
10.07.2021 •
Mathematics
What is the measure of arc MP
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Ответ:
Ответ:
x = $8
y = $4
Step-by-step explanation:
x = cost of an adult ticket
y = cost of child ticket
Firstly, 3 adult tickets and 5 child tickets cost $44
That’s 3x + 5y = 44
Also , 5 adult tickets and 3 child tickets cost $52
That’s 5x + 3y = 52
Now combine both equations.
1. 3x + 5y = 44
2. 5x + 3y = 52
Multiply equation one by 5 and equation two by 3
We have
5 x 3x + 5 x 5y = 5 x 44
3 x 5x + 3 x 3y = 3 x 52
We have
15x + 25y = 220
15x + 9y = 156
Subtract equation 2 from 1
16y = 64
Divide both sides by 16
16y/16 = 64/16
y = 4
Now substitute 4 for y in any of the equations to get x. Using equation one, we have
3x + 5(4) = 44
3x + 20 = 44
Subtract 20 from both sides
3x + 20 - 20 = 44 - 20
3x = 24
Divide both sides by 3
x = 24/3
x = 8
Therefore, adult’s ticket cost $8 while children’s ticket cost $4