If 146 people attend a concert and tickets for adults cost $3 while tickets for children cost $1.75 and total receipts for the concert was $355.5, how many of each went to the concert?

80 adults and 66 children attended the concert

Step-by-step explanation:

Two equations are needed to solve this problem

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

For equation 1:

The number of adults plus the number of children that attended is the total

    x+y=146    

For equation 2:

Since the cost of an adult's ticket is $3, multiply that by the number of adults

Do the same for children, multiply the price of a child's ticket by the number of children that attended

Add them together and they should equal the total profit

   3x+1.75y= 355.5

Now rearrange equation 1, isolate for either x or y

    y= 146-x

Substitute the rearranged equation back in for the isolated variable in equation 2

     3x+1.75y= 355.5

     3x+ 1.75(146-x)= 355.5

Now simplify the equation

    3x+ 255.5- 1.75x= 355.5

Rearrange the equation so that the variables are on one side and the numbers are on the other

     3x- 1.75x= 355.5- 255.5

     1.25x= 100

Isolate for x

     x= 100/1.25

     x=80

Recall x was the number of adults that attended so,

    80 adults attended the concert

Now, substitute this value back into either equation 1 or 2

To keep things simple, let's use equation 1

     x+y= 146

     y= 146-80

     y= 66

Recall y was the number of children, so

    66 children attended the concert

To verify, substitute those values back into equation 2,

    3x+1.75y = 355.5

    ($3*80 adults) + ($1.75*66 children)= $355.50

    $240+ $115.50= $355.50

     $355.50 = $355.50

f(x) is the value of the function. b is the value of the function when x equals zero or the y-coordinate of the point where the line crosses the y-axis in the coordinate plane.

step-by-step explanation:

hope this !

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98