Question

For a fundraiser, a theatre club is making 400 cookies. They want to make twice as many chocolate chips as peanut butter cookies and three times as many peanut butter as oatmeal raisin cookies. Determine how how many of each type the theatre club will make.

Answer 1

x + 3x + 6x = 400.

40 + 120 + 240 = 400.

x & 3 are simmiler terms.  Add 3x and x to have a sum of 4x.

4x + 6x = 400

4x & 6x are simmiler terms.  Add 6x and 4x  to have a sum of 10x.

Divide each term by 100. ( in the equation.)

(10x )/(10) = (400)/(10)

Simplify left hand side: Canceling the common terms.

x= (400)/(10)

Simplify right hand side: Simplifying each term.

x=40

( The answer if solved would be 400 but this would be the simplifying way, if you know what I mean.)

Hope helps!-Aparri