You have @a nickels. What amount of money is this?
A nickel has a value of $0.05. The total amount of money you have is {(0.05)(@a)}
You have @a dimes. What amount of money is this?
A dime has a value of $0.10. The total amount of money you have is {(0.10)(@a)}
You have @a quarters. What amount of money is this?
A quarter has a value of $0.25. The total amount of money you have is {(0.25)(@a)}
Adult tickets for a play are $@a, and children's tickets are $@b. How much money will it cost for @c adults and @d children to attend the play?
{Total cost=(@a)@c+(@b)@d dollars}
{name} has @a coins in his pocket that have a total value of $@b (dollars). If these coins consist of nickels and dimes only, how many of each kind are there?
Let n=the number of nickels and d=the number of dimes. {trans} {n+d=@a} {another} {0.05n+0.10d=@b} Solve these two equations for n and d to find the number of nickels (n) and dimes (d).
{name} has @a coins that total $@b (dollars). The coins are nickels and quarters only. How many of each kind are there?
Let n=the number of nickels and q=the number of quarters. {trans} {n+q=@a} {another} {0.05n+0.25q=@b} Solve these two equations for n and q to find the number of nickels (n) and quarters (q).
{name} has @a coins that total $@b (dollars). The coins are dimes and quarters only. How many of each kind are there?
Let d=the number of dimes and q=the number of quarters. {trans} {d+q=@a} {another} {0.10d+0.25q=@b} Solve these two equations for d and q to find the number of nickels (d) and quarters (q).
{name} has $@a (dollars) in nickels, dimes, and quarters. If there are @b more quarters than nickels, and @c times as many dimes as nickels, how many of each coin is there?
Let n=the number of nickels, d=the number of dimes, and q=the number of quarters. {trans} {0.05n+0.10d+0.25q=@a} {another} {q=n+@b} {another} {d=@cn} Plug Equations 2 and 3 in for q and d in the Equation 1, and solve for n. Once you have n, you can find q and d from Equations 2 and 3.
{name} has $@a (dollars) in nickels, dimes, and quarters. If there are @b more dimes than nickels, and @c times as many quarters as dimes, how many of each coin is there?
Let n=the number of nickels, d=the number of dimes, and q=the number of quarters. {trans} {0.05n+0.10d+0.25q=@a} {another} {q=@cd} {another} {d=@b+n} Plug Equations 2 and 3 in for q and d in Equation 1 above, and solve for n. Once you have n, you can find q and d from Equations 2 and 3.
{name} has $@a (dollars) in nickels, dimes, and quarters. There are @b fewer dimes than quarters, and as many nickels as the sum of the dimes and quarters, how many of each coin is there?
Let n=the number of nickels, d=the number of dimes, and q=the number of quarters. {trans} {0.05n+0.10d+0.25q=@a} {another} {d=q-@b} {another} {n=d+q} Plug Equations 2 and 3 in for d and n in Equation 1 above, and solve for q. Once you have q, you can find d and n from Equations 2 and 3.
The total receipts for a concert were $@a (dollars) for the @b number of tickets sold. They sold orchestra seats for $@c each, box seats for $@d each, and balcony seats for $@e each. If there were @f times as many balcony seats as box seats sold, how many of each kind were sold?
Let x=the number of orchestra seats, y=the number of box seats, and z=the number of balcony seats. {trans} {x+y+z=@b} {another} {@cx+@dy+@ez=@a} {another} {z=@fy} There are three unknowns (x,y, and z) and three equations. Solve them any way you wish.
The total receipts for a football game were $@a (dollars). General admission tickets cost $@b each, reserved seats $@c each, and box seats $@d each. If there were @e times as many general admission as reserved seat tickets, and @f times as many reserved as box seat tickets sold, how many of each kind were sold?
Let x=the number of general admission tickets, y=the number of reserved tickets, and z=the number of box seats sold. {trans} {@bx+@cy+@dz=@a} {another} {x=@ey} {another} {y=@fz} There are three unknowns (x,y, and z) and three equations. Solve them any way you wish.
