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.
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.
The sum of two numbers is 125 and their difference is 47. Write and solve a system of equations to find the two numbers.
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.
The solution of the system 4x + 5y = 2 and 6x - 2y = 6 is (3, a). Find the values of a and b.
Solve the following system of equations using three different methods.
4x + y = 13
6x - y = 7