John has 15 coins, all nickels and quaters, worth $2.95. Write and solve a system of equations to determine how many dimes and how many quarters John has.
Question 2
2.
A movie theater charges $5 for an adult's ticket and $2 for a child's ticket. One Saturday, the theater sold 465 tickets for $1905. Write and solve a system of equations to determine how many childs' tickets were sold for the movie that Saturday.
Question 3
3.
The sum of two numbers is 125 and their difference is 47. Write and solve a system of equations to find the two numbers.
Question 4
4.
In Blue River, Jacket can row 32 km downstream in 8 hours, but it takes him 4 hours to row 12 km upstream. Find the rate he rows in still water and the rate of the current.
Question 5
5.
The solution of the system 4x + 5y = 2 and 6x - 2y = 6 is (3, a). Find the values of a and b.
Question 6
6.
Solve the following system of equations using three different methods.