Short Tasks: Creating Equations 1 1.
If V -
12R
(r+R)
make R the subject of the equation.
2a.
Jane, Maria, and Ben each have a collection of marbles. Jane has 15
more marbles than Ben, and Maria has 2 times as many marbles as
Ben. All together they have 95 marbles. Find how many marbles
Maria has.
2b.
Dave sold 40 tickets for a concert. He sold x tickets at $2 each and y
tickets at $3 each. He collected $88.
Write down two equations connecting x and y.
Solve these two equations to find how many of each kind of ticket he
sold.
2c.
A rectangle has length (x + 5)cm and width (x-2)cm. Its area is 60
cm?
Write a quadratic equation, and solve it to find the length and width of
this rectangle.