Equations.

Question

Stan's printer prints 8 copies per minute

Julia's printer prints 11 copied per minute.

 

Stan's printer prints for x minutes.

 

(a) Write down, in terms of x, the number of copies Stan's printer prints in these x minutes.

 

(b) Julia's printer prints for 4 minutes less than Stan's printer. Write down, in terms of x, the number of minutes for which Julia's printer prints.

 

(c) Write down, in terms of x, the number of copies Julia's printer prints.

 

(d) Write down, in terms of x, the total number of copies that Stan's printer and Julia's printer print. You musy simplify your answer as far as possible.

Answer 1

Emily, don't overthink this. It's eeeeeeasier than you think!

 

Let's say Stan's printer prints for 5 minutes. You get 8(5) = 40 copies, right?

 

a. Soooo, in x minutes, you get 8x copies.

 

b. If Julia's printer prints for 4 fewer minutes, then it prints for x - 4 minutes.

 

c. This one's a little tougher, but pretty much the same concept. In x - 4 minutes, Julia's printer prints 11(x - 4) copies. Distributing, that's 11x - 44 copies.

 

d. Add the two together! 8x + (11 x - 44) = 8x + 11x - 44. Combing like terms, the two printers together print 19x - 44 copies.

 

Hope this helps!