Question

A university bookstore recently sold a wirebound graph-paper notebook for $1.10, and a college-ruled notebook for $3.16. At the start of spring semester, a combination of 50 of these notebooks were sold for a total of $102.38. How many of each type were sold?

Answer 1

w + c = 50
1.10w + 3.16c = 102.38

Solve the system

Answer 2

I am confused

Answer 3

Confused about what?

Answer 4

about how to do it

Answer 5

Basically you write both equations in terms of w, set w = w, cross multiply, solve for c, then solve for w:

w + c = 50
1.10w + 3.16c = 102.38

w = 50 - c
w = (102.38 - 3.16c)/1.10

w = w
1.10(50 - c) = 102.38 - 3.16c
55 - 1.10c = 102.38 - 3.16c
-1.10c + 3.16c = 102.38 - 55
2.06c = 47.38
c = 47.38/2.06
c = 23

Do you think you can find w?

Answer 6

w=50-23=27

Answer 7

correct

Answer 8

ok so is that the answer

Answer 9

What do you think?

Answer 10

If you don't understand my steps, you should consider consulting a tutor.

Answer 11

well do I need to work this out as well w = (102.38 - 3.16c)/1.10

Answer 12

You only needed to solve for c and w. You have both values now. c = 23, w = 27.

The only thing you need to do is study and understand the steps I've given you.

Answer 13

oh ok