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serg [7]
2 years ago
11

The Downtown Community Barbecue served 280 dinners. A child’s plate cost $2.60 and an adult’s plate cost $9.50. A total of $1,79

7.50 was collected. How many of each type of plate was served?
Round answers to the nearest whole person.

child plates were served.
adult plates were served.
Mathematics
1 answer:
Romashka-Z-Leto [24]2 years ago
8 0

Answer:

the number of child plates and adults plates were served is 125 and 155 respectively

Step-by-step explanation:

Let us assume the child plate be x

And, the adult plates be y

Now according to the question

x + y = 280 .................(1)

2.60x + 9.50y = 1797.50 .............(2)

Now multiply by 2.60x in equation (1)

2.60x + 2.60y = 728

2.60x + 9.50y = 1797.50

-6.90y = -1069.50

y = 155

So, x = 280 - 155

= 125

hence, the number of child plates and adults plates were served is 125 and 155 respectively

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Step-by-step explanation:

The Quadratic Polynomial is

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You can look the problem in other way

the two Quadratic polynomials are

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So, 2 x²+x-4=0,

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∨

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You can solve these two equation graphically also.

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