Question

A university bookstore recently sold a wirebound graph-paper notebook for $0.88, and a college-ruled notebook for $2.38. At the start of spring semester, a combination of 50 of these notebooks were sold for a total of $59.00. How many of each type were sold?

Answer 1

What are your givens?

Answer 2

List them out first.

Answer 3

graph paper=40, college ruled=10

Answer 4

g=graph paper, c=college-ruled.
$0.88g+$2.38c=$59.00 (a total of $59.00 was made)
g+c=50 (a total of 50 was sold)

use substitution method.
c=50-g
0.88g+2.38(50-5)=59
0.88g+119-2.38g=59
-1.5g+119=59
-1.5g=-60
(-1.5/-1,5)g=-60/-15
g=40

40+c=50
-40 -40
c=10

Answer 5

Substitution is unnecessary and a complete waste of time in this situation. Just eliminate.

Answer 6

can you show me? petewe

Answer 7

and thank you nahomie

Answer 8

Let x = graph
let y = college

0.88x + 2.38y = 59
x + y = 50

What do you from there if you want to eliminate a variable?

Answer 9

add/subtract that variable so they canel

Answer 10

Yes but because the variables in each equation have different coefficients, how do we make it so that at least 1 variable in each equation is equal?

Answer 11

that is what has me confused..i dont know

Answer 12

If you change one side of an equation, what must be done to the other?

Answer 13

you have to change that side too

Answer 14

Exactly.
Given that, how can we make the x in the second equation equal to the x in the first equation?

0.88x + 2.38y = 59
x + y = 50

Answer 15

add them

Answer 16

No. What do you have to do x to make it 0.88x?

Answer 17

multiply???

Answer 18

Good, now if you multiply x, what do you have to do to everything else in the equation?

Answer 19

multiply as well

Answer 20

Exactly, show me what you get.

Answer 21

0.88x+2.09=51.92

Answer 22

Good, now the x in both equations are equal. From here, subtract the equations and the x will cancel out. Isolate and solve for y. Once you have y, sub that into x + y = 50 to find x.

Hope I helped.

Answer 23

you did THANK YOU!