Arestaurant catered an event for 25 people. a child's dinner cost $5 and adult's dinner cost $22. the party cost $431

No of child =4

No of adult = 21

Step-by-step explanation:

Given:

Total People = 25

Child's dinner cost = $5

Adult's dinner cost = $22

Total Cost of party = $431

To Find:

No of Children = ?

No of Adults = ?

Solution:

Let x be the number of children and y be the number of adults

According to firs condition

total people = 25

so it becomes

x + y = 25             ...............(i)

From second condition

Total cost = cost of child + cost of adults

431 = 5 x + 22 y                 ..............(ii)

From equation (i) we have

x = y-25            ..............(iii)

Putting this value in equation (ii)

we get

431 = 5(y-25) + 22y

431 = 5y - 125 + 22y

it becomes

431 = 27y - 125

adding 125 on both sides

431 + 125 = 27y - 125 + 125

556 = 27y

it can be written as

27 y = 556

dividing both sides by 27

y = 20.59

As no of persons can not be 20.59

so rounding off gives

y = 21

Now for x

we have equation (iii)

which is

x = 25-y

x = 25 - 21

x = 4

No of child =4

No of adult = 21

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.

the answer is 62.8 cubic units