A total of $4,500 was collected selling 1,200 tickets to an exhibition. The cost of each ticket was $4 for an adult and $3 for a child. Write a system of equations to represent this situation and find the number of adults and child.

Step-by-step explanation:

a and c are the numbers of adult tickets and child tickets, respectively.

a+c = 1,200

c = 1,200 - a

4a + 3c = 4,500

4a + 3(1,200-a) = 4,500

a + 3,600 = 4,500

a = 900

c = 1,200-a = 300

900 adult tickets and 300 child tickets

250 $3 tickets and 100 $2 tickets were sold.

the equation for this situation is y=122+45. to solve the equation you would add 45 and 122 to get a total of 167lbs. in conclusion, grace's weight eight weeks ago was 167lbs.  

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.