Question

the class was required to draw plan for the foundation day. Mary and tess was assigned to draw buildings. mary draw buildings twice as much as tess. if the total buildings are 99, how many buildings was draw by mary and tess

Answer 1

Mary drew 66 buildings and Tess drew 33 buildings.

Explanation:

Let's label the number of buildings drawn by Mary as x and the number of buildings drawn by Tess as y.

We know there are 99 buildings drawn. This means

99=x+y

We also know that Mary drew twice as many buildings as Tess. We can represent this as

x=2y

Now, let's substitute x for 2y, since that would put us in common terms

99=2y+y

Add common variables together and you get

99=3y

Solve for y by dividing 99 by 3

y=33

We now know that Tess drew 33 buildings, as well as y=33. Substitute y in the equation for how many buildings Mary drew:

x=2(33)

Now we know that Mary drew 66 buildings.

To check our work,

99=x+y

99=66+33

99=99